What are the transformations of this functions compared to the parent function y = √(x)?

Reflected over the x-axis, vertical stretch, and shifted right 5

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch, and shifted left 5

Shifted right 5, shifted down 2

If f(x) = x 3 is changed to f(x) = - (x + 3) 3 + 2, how is the graph transformed?

left 3, up 2, reflected across the x-axis

right 3, up 2, reflected across the y-axis

right 3, up 2, reflected across the x-axis

left 3, up 2, reflected across the y-axis

Describe the transformation of the graph f(x) = -2(x + 5) 3

Vertically stretched by 2, Reflected over x-axis, Left 5

Vertically compressed by 2, Reflected over y-axis, Right 5

Vertically stretched by 2, Reflected over x-axis, Right 5

Vertically compressed by 2, reflected over y-axis, Left 5

What transformations has the function undergone?

reflect over x, vertical stretch by 2, right 5, up 1

reflect over y, vertical compression by 2, right 5, up 1

reflect over x, horizontal compression by 2, left 5, up 1

reflect over y, horizontal stretch by -2, right 5, up 1

Identify the equation of the transformed graph.

f ( x ) = ∣ x − 2 ∣ f\left(x\right)\ =\ \left|x-2\right| f ( x ) = ∣ x − 2 ∣

f ( x ) = ∣ x + 2 ∣ f\left(x\right)\ =\ \left|x+2\right| f ( x ) = ∣ x + 2 ∣

f ( x ) = ∣ x + 2 ∣ + 2 f\left(x\right)\ =\ \left|x+2\right|+2 f ( x ) = ∣ x + 2 ∣ + 2

f ( x ) = ∣ x − 2 ∣ + 2 f\left(x\right)\ =\ \left|x-2\right|+2 f ( x ) = ∣ x − 2 ∣ + 2

What are the transformations of the function compared to the parent function f(x) = √x

Vertical Stretch by a factor of 2; translated down 5

Shifted right 2 units and down 5 units

Vertical stretch by a factor of 2; translated left

Vertical stretch by a factor of 2; translated right one

Transformations of Functions Review

Authored by Deborah Riemer

Mathematics

10th - 12th Grade

CCSS covered

Used 34+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Left 3 and up 5

Right 3 and down 5

Left 3 and down 5

Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

g(x)=x³+1

g(x)=x³-1

g(x)=(x-1)³

g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

shifted up five units

reflection in x-axis

shifted down five units

reflection in x-axis

shifted left 5 units

reflection x-axis

shifted right 5 units

reflection x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)²

Vertical Shrink of ⅔
Right 7

Horizontal Shrink of ⅔
Left 7

Left ⅔
Vertical stretch of 7

Right ⅔
Horizontal stretch of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

Reflect over y-axis
Left 3

Reflect over y-axis
Right 3

Reflect over x-axis
Left 3

Reflect over x-axis
Right 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

If the blue function is f(x)=x², then the red function must be

g(x)=x²-5

g(x)=x²+5

g(x)=(x-5)²

g(x)=(x+5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

45 sec • 12 pts

Match the equation to its description.

Right 2 and up 2

Left 2 and up 2

Right 2 and down 2

Left 2 and down 2

Tags

CCSS.HSF-IF.C.7A

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Transformations of Functions Review

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

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)²

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

If the blue function is f(x)=x², then the red function must be

Match the equation to its description.

Which equation describes the transformation of shifting f(x)=x³ three units left?

Which equation describes the transformation of shifting f(x)=x³ seven units up?

What are the transformations of this functions compared to the parent function y = √(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

Transformations of Functions Review

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

The blue function is the original function f(x) = x3. Which of the following is the correct equation for the red function, g(x)?

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)2

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

If the blue function is f(x)=x2, then the red function must be

Match the equation to its description.

Which equation describes the transformation of shifting f(x)=x3 three units left?

Which equation describes the transformation of shifting f(x)=x3 seven units up?

What are the transformations of this functions compared to the parent function y = √(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

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

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)²

If the blue function is f(x)=x², then the red function must be

Which equation describes the transformation of shifting f(x)=x³ three units left?

Which equation describes the transformation of shifting f(x)=x³ seven units up?