If the yellow curve has equation f(x)=x 2 ,

Then the blue curve is f(x) = (x+c) 2

Then the blue curve is f(x) = x 2 - c

Then the blue curve is f(x) = (x-c) 2

Then the blue curve is f(x) = x 2 + c

Describe the transformations that maps y = |x| to y = - |x + 6| - 10

Reflect down over x-axis Shifted down 10 units Shifted left 6 units

Reflect over y-axis Shifted down 10 units Shifted left 6 units

Reflect down over x-axis Shifted up 10 units Shifted left 6 units

Reflect over y-axis Shifted up 10 units Shifted right 6 units

Describe the transformations that maps

Vertical stretch, left 1, down 1

vertical compression, left 1, down 1

vertical stretch, right 1, down 1

Horizontal stretch, left 1, down 1

What transformations happen to the function f(x) = -3(x - 4) 2 ?

reflect down, vertical stretch 3, right 4

reflect down , vertical stretch 3, left 4

Describe the transformation of y = f(x) for the new function y = - f(x)

The graph of y = f(x) was flipped vertically across the x axis.

The graph of y = f(x) was flipped horizontally across the y axis.

The graph of y = f(x) was shifted down.

The graph of y = f(x) was shifted right

Translating graphs

Authored by Jessica Paul Betts

Mathematics

8th - 10th Grade

CCSS covered

Used 21+ times

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18 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Shift f(x)=x² three units to the left and 4 units down

f(x)=(x+3)²-4

f(x)=(x-3)²-4

f(x)=(x+4)²-3

f(x)=(x-4)²-3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

How would you describe the translation from f(x)=x² to f(x)=(x-3)² ?

Horizontal translation: three units to the left

Horizontal translation: three units to the right

Vertical translation: three units up

Vertical translation: three units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

y=(x-4)²+1

y=(x-4)²-1

y=(x+4)²+1

y=(x+4)²-1

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How would you describe the translation from f(x)=x²+2 to f(x)=x²+7 ?

Vertical translation: up 2 units

Vertical translation: up 5 units

Vertical translation: up 7 units

Vertical translation: up 9 units

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How would you describe the translation from f(x)=(x-2)² to f(x)=(x+3)² ?

Horizontal translation: to the right 3 units

Horizontal translation: to the left 2 units

Horizontal translation: to the left 5 units

Horizontal translation: to the right 5 units

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the translation from f(x)=(x+2)²-3 to f(x)=(x-3)²-5

Five units to the right, 2 units up

Five units to the right, 2 units down

Five units to the left, 2 units up

Five units to the left, 2 units down

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation shows a function that is translated left 4 and 7 up?

y = |x + 4| + 7

y = (x - 4)² + 7

y = (x + 7)² - 4

y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

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Translating graphs

Shift f(x)=x² three units to the left and 4 units down

How would you describe the translation from f(x)=x² to f(x)=(x-3)² ?

How would you describe the translation from f(x)=x²+2 to f(x)=x²+7 ?

How would you describe the translation from f(x)=(x-2)² to f(x)=(x+3)² ?

Describe the translation from f(x)=(x+2)²-3 to f(x)=(x-3)²-5

Which equation shows a function that is translated left 4 and 7 up?

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

What is the equation of the graph below?

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

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Popular Resources on Wayground

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Translating graphs

Shift f(x)=x2 three units to the left and 4 units down

How would you describe the translation from f(x)=x2 to f(x)=(x-3)2 ?

How would you describe the translation from f(x)=x2+2 to f(x)=x2+7 ?

How would you describe the translation from f(x)=(x-2)2 to f(x)=(x+3)2 ?

Describe the translation from f(x)=(x+2)2-3 to f(x)=(x-3)2-5

Which equation shows a function that is translated left 4 and 7 up?

The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?

What is the equation of the graph below?

Given f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Shift f(x)=x² three units to the left and 4 units down

How would you describe the translation from f(x)=x² to f(x)=(x-3)² ?

How would you describe the translation from f(x)=x²+2 to f(x)=x²+7 ?

How would you describe the translation from f(x)=(x-2)² to f(x)=(x+3)² ?

Describe the translation from f(x)=(x+2)²-3 to f(x)=(x-3)²-5

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?