Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.

An equation is written as two expressions connected by the equal sign

Enter an equation for the shifted graph:

Answers

Answer 1

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

----------------------------------

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) =  f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

https://brainly.com/question/24401156


Related Questions

Two numbers have a sum of 24
and a product of 143. What is the
smaller number?

Answers

Answer:

The smaller number is 11.

Step-by-step explanation:

11 + 13 = 24

11 x 13 = 143

Hope this helps!

The smaller number is 11

can someone pls help me <33​

Answers

9514 1404 393

Answer:

  (a)  29/69

Step-by-step explanation:

It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.

Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.

The reduced fraction is ...

  made shots/attempts = 174/414 = 29/69

__

Additional comment

As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).

  174/414 ≈ 0.42028986

  29/69 ≈ 0.42028986 . . . . same value

  87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced

  17/41 ≈ 0.41453415 . . . . . not equivalent

  14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)

I need help please I need to turn it in tomorrow at 8:00 AM

Answers

Answer:

The estimate is too low

Step-by-step explanation:

46×6=276 which isn't a very close estimate. However if you used 46×7=322 the estimate would be OK. Now if you used 46×8=368 that would be too high of an estimate here. In simpler terms 1 to 6 is too low of an estimate here and 8 to 9 is too high of an estimate. The number 7 is the middle ground here. Hope this helped.

Write the point slope form of a line that passes through (1,-5) and is perpendicular to a line with a slope of 1

Answers

Answer:

y + 5 = -1 (x - 1)

Step-by-step explanation:

y = -1

y + 5 = -1 (x - 1)

How to find the frequency for temperature in Fahrenheit

Answers

Answer:

Step-by-step explain

if you where in your house say that your house is set to 72F and you want to find out the Fahrenheit you take the 2 in 72 and multiply it by 3 so in that case it would be 6 then you take the 7 and subtract 1 which makes it 6 So the Fahrenheit is 66.

What is the domain and range

Answers

Answer:

The domain is the travel on the x-axis of the graph and the range is the travel on the y-axis of the graph.

Step-by-step explanation:

A triangle has side lengths 35 cm, 46 cm, and 68 cm.

What type of triangle is this?


scalene

isosceles only

equilateral

Answers

Answer: Scalene

Step-by-step explanation:

The triangle doesn't have any equal side

Answer:

This is a scalene triangle. Hope this helps.

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. x-8=8-x

Answers

Hello!

Answer:

One solution (8)

Step-by-step explanation:

Hope this helps!

how do you solve the following equation?

10-s=34

Answers

Answer:

-24

Step-by-step explanation:

10-s=34

collect like terms

10-34=s

s=-24

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

x is constant .

Count the boxes each as 1.

Its easier to calculate on y axis.

f(x) intersected at -2g(x) intersected at 3.

[tex]\\ \sf\longmapsto k=3-(-2)[/tex]

[tex]\\ \sf\longmapsto k=3+2[/tex]

[tex]\\ \sf\longmapsto k=5[/tex]

Answer:

• For g(x), consinder y-intercept (0, 3)

• For f(x), consinder point y-intercept (0, -2)

[tex] \hookrightarrow \: { \tt{g(x) = f(x) + k}}[/tex]

• substitute using coordinates above:

[tex]{ \tt{3 = - 2 + k}} \\ \\ { \tt{k = 3 + 2}} \\ \\ { \boxed{ \tt{ \: \: k = 5 \: \: }}}[/tex]

Solve each equation 5(-8+5k) +5k=-250

Answers

Answer:

k = 7

Step-by-step explanation:

-40+25k +5k = -250

30k = -250 + 40

k = -210/30

k = 7

Robert must read a few books from his home library. He read 4 out of 6 books from the top shelf, 2 out of 3 books from the miidle shelf, and then 3 out of 6 books from the bottom shelf. In how many ways can Robert read the books

Answers

Answer:

13

Step-by-step explanation:

I don’t know I did it in my head

Can someone help me solve x?

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The diagram is intended to show you that the whole is the sum of the part:

  11 = (10x -1) +(2x)

  11 = 12x -1 . . . . . . . collect terms

  12 = 12x . . . . . . . . add 1 to both sides

  1 = x . . . . . . . . . . . divide both sides by 12

The value of x is 1. The lengths of the segments are 9 and 2.

Please help me answer this question

Answers

Answer:

option D is right answer

i.e. _

BC

What is the value of x and y? Question 6 options: x = 40 , y = 40 x = 8, y = 20 x = 8 , y = 40 x = 40, y = 20

Answers

Answer:

the triangle is isosceles triangle. so, the two angles of the same side are equal.

(5x)°=40°

x = 40/5

x = 8

40° +40°+(2y+20)°=180°

80 + 2y +20 =180°

100° +2y =180°

180°-100°=2y

80° = 2y

80°/2= y

40 = y

Please help!!!!!!!!!!!

Answers

Answer:

1. x=3

2.x=-14

3.x=13

4.x=-15

5.y=4

Step-by-step explanation:

solve include real and non real solutions.
x^2-8=0

Answers

Answer:

[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2-8=0[/tex]

[tex]x^2=8[/tex]

[tex]\sqrt{x^2} = \sqrt{8}[/tex]

[tex]x=2\sqrt{2}[/tex]

plus or minus

Can someone help me please :)

Answers

9514 1404 393

Answer:

  (d)  y = 2×7^x

Step-by-step explanation:

If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.

  a) 14^2 = 196

  b) 7×2^2 = 28

  c) 2^(7×2) = 2^14 = 16,384

  d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice

__

Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:

  98/14 = 7

so you're looking for something of the form 7^x. That would be ...

  y = 2×7^x

__

In more general terms, consider

  y = ab^x

If you have x=1 and x=2, then this will be ...

  y1 = ab^1 = ab

  y2 = ab^2

Dividing the second by the first gives ...

  y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1

  98/14 = b = 7

From the x=1 case, we have ...

  14 = 7a   ⇒   a = 2

  y = 2·7^x

Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = - 4x - 3
0-4
0-3
03
04

Answers

For that I got -3/4

The lines given by the equations y = 2x and y= 2x + 1 are
A. Parallel
B. Perpendicular
C. Neither Perpendicular nor parallel

Answers

A. is the answer i’m pretty sure

Hi, I really need help on this, please help me, no scam links.

Answers

Answer:

560 cm^3

Step-by-step explanation:

To find volume you will have to multiply all three, length, width and height of an object to determine the answer.

In this problem, 7 cm * 20 cm * 4cm = 560 cm^3

Solve for x:
11) 2(x + 4) = 18

Answers

Answer:

x = 5

Step-by-step explanation:

2 (x + 4) = 18

x + 4 = 9

x = 5

Answer:

x=5

Step-by-step explanation:

2(x + 4) = 18

Divide each side by 2

2/2(x + 4) = 18/2

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Convert 56∘F to ∘C.

Round to one decimal place and do not include units in your answer.

Answers

What formula are you using I'm using the one below so hopefully you're able to utilize this.

C = (F-32) ÷ 1.8

C = (56-32) ÷ 1.8

C = ( 24 ) ÷ 1.8

C = 13.3333333

Rounding one decimal place (tenths)

C = 13.3

help Perform the indicated operation.

(-7) · (-5)

-12
-35
12
35

Answers

Answer:

35

Step-by-step explanation:

(-7) • (-5)

= 7 • 5

= 7 + 7 + 7 + 7 + 7

= 14 + 7 + 7 + 7

= 21 + 7 + 7

= 28 + 7

= 35

[tex] [/tex]

How many average points per game did Denver score?

Answers

So Denver scored 3/4 as many as Dallas so:
3/4 x 26 3/5
If we make 26 3/5 an improper fraction it becomes
133/5
133/5 x 3/4 =
(133 x 3)/(5x4)=
399/20 average points
Which as a mixed fraction is:
19 19/20
Can I get brainliest answer.

The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.53. Find the percentage increase. Round your answer to the nearest tenth of a percent

Answers

Answer:

0.13

Step-by-step explanation:

Translate each graph as specified below.
(a) The graph of y=f(x) is shown. Translate it to get the graph of y=f(x) - 4.
(b) The graph of y=g(x) is shown. Translate it to get the graph of y=g(x - 2).

Answers

Answer:

1

Step-by-step explanation:

1

The answers are :

a) The graph is translated downwards by 4 units.

b) The graph is translated downwards by 2 units.

What do you mean by translation of a graph ?

The modification of an existing graph or graphed equation to create a different version of the following graph is known as translation.

a)

The graph of y = f(x) is shown.

The other function is y = f(x) - 4.

As it can be observed that the graph is translated from its parent function which is y = f(x) to function y = f(x) - 4.

The graph is shifted down by 4 units or translated downwards by 4 units.

b)

Here , the graph of y = g(x) is shown.

The other function is y = g(x -2)

As we can observe that the graph is translated from its parent function which is y = g(x) to function y = g(x - 2).

The graph is shifted downwards by 2 units or translated downwards by 2 units.

Therefore , the answers are :

a) The graph is translated downwards by 4 units.

b) The graph is translated downwards by 2 units.

Learn more about translation here :

https://brainly.com/question/12861087

#SPJ2

Yep sorry again this math is hard

Answers

Answer:

<

Step-by-step explanation:

Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is [tex]10^3[/tex] whereas the right side is [tex]10^4[/tex]. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.

[tex]10^3 = 1000\\10^4 = 10000[/tex]

Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.

Hope this helps!

Graph the function (x) -7x^2

Answers

Answer:

See Picture

Step-by-step explanation:

I hope this helps!

Website
1. Orbitz.com
2. Mypoints.com
3. Americangreetings.com
4.Bizrate.com
5.Half.com
Average daily unique visitors
1,527,000
1,356,000
745,000
503,000
397,000
What was the total average number of visits for these websites?

Answers

905,600 visitors

I added each number up and divided them by 5 (the total number of websites) to get 905,600

Answer:

905,600 visitors

Step-by-step explanation:

added each number up and divided them by 5 (the total number of websites) to get 905,600

Other Questions
identify the parts of the heart in the corresponding spaces. once you have identified the parts of the heart, label the image provided Forma frases. Choose words from each column to makesentences. please help, lots of points!!! What happens to a population when emigration decreases? Write the equation of the line in fully simplified slope-intercept form. While Brian was cutting the end of the rubber tube, during chemistry lab, he accidently cut his finger. It was a minor cut and hardly any blood was visible. Brian should __________ a. tell his teacher immediately and do as directed. b. go to the sink and wash his hand with soap and water. c. place a towel over the wound and keep working. d. continue working because he is ok. Which group will have an electron configuration that ends in s2? aAlkali metals (Group 1) bHalogens (Group 17) cAlkaline earth metals (Group 2) dNoble gases (Group 18) Question 5 of 5 Kara is worried about her friend Jamie, who seems depressed and withdrawn. Jamie recently quit their softball team, which she used to love. She has started hanging out with a group of friends who are known for underage drinking. Kara wants to help Jamie, but she doesn't know how or where to look for resources. What is the best next step for Kara? A. Start ignoring Jamie. B. Try to forget about Jamie's problems. C. Talk to Jamie's new friends, whom she does not trust. D. Talk to her softball coach, whom she trusts. To get a special project, Chris practiced ____ by reading all he could about the field and spending time learning a new skill.A.Lifelong learningB.TeamworkC.CollaborationD.Working What are the reasons of the natives for offering sacrifices? define dark reaction Which is NOT an example of proper gym etiquette?options:A.Wipe down machines after use.B. Demonstrate proper body mechanics.C. Use equipment quickly if people are waiting.D. Limit time on the treadmill during busy times.no links what is the answer ?? Simplify the expression 3/2(5/3)1 1/4+1/2 . Given the answer as a simplified fraction.The simplified expression is a/b . i can make you freeze or cool you down you can feel me but you cant see me this is culinaryDirections and AnalysisTask 1: Entres Perform online or offline research on the different types of meats, poultry, and seafood and fish within these categories. Then, complete the following tables by listing three or more items within each group, defining the preferred cooking methods, and briefly stating the common use of each item. (For example: seafood would be one group. Shrimp is a type of seafood, and the preferred cooking methods for shrimp are boiling, steaming, and grilling.) 5 rows in each table 1. MeatType Preferred Cooking Method Common Use shrimp boiling, steaming, and grilling 2. PoultryType Preferred Cooking Method Common Use3. Seafood and FishType Preferred Cooking Method Common UseType your response here: __________________________________________________________________________Task 2: My CreationChoose any two of your favorite recipes in the meat, poultry, or seafood and fish group. Add your own creative touch to these recipes. Describe the modifications you made to each recipechange of ingredients, cooking method, etcWrite a short list of the tools, equipment, utensils, and appliances that youll need to make these dishes. Then, select two pieces of equipment from your list and describe how you would use and maintain them. Finally, include a presentation of up to five slides to introduce your restaurant and the recipes. Type your response here: 100 points!!! Jana feels that listening to music at night helps her to sleep. Should Jana listen to music the night before a test? a. Yes, because she will sleep better. c. Yes, but keep the music extra low, so she doesnt notice it as much. b. No, the music keeps her from reaching a deep sleep. d. No, she may forget what she studied. Please select the best answer from the choices provided A B C D janice bought 4 oranges for $3.40. what is the unit price? How does fear drive action for teenagers? For younger children?For adults Si a un resorte se le cuelga una masa de 800 g y se deforma 50 cm. Cul ser el valor de su constante en N/m? (g = 9.81m/s2).