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

g(x) = -f(x) Describe the transformation to f(x) that results in g(x).

f(x) has been reflected over the x-axis.

f(x) has been reflected over the y-axis.

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

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

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

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

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

Transformations of Functions

Authored by Gabrielle Kelly

Mathematics

8th - 12th Grade

CCSS covered

Used 567+ times

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10 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which equation describes the transformation of shifting f(x)=x² two units right?

x² + 2

x² - 2

(x + 2)²

(x - 2)²

Tags

CCSS.8.G.A.3

CCSS.8.G.A.1

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.8.G.A.3

CCSS.8.G.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

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

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

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

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

Tags

CCSS.HSF.BF.B.3

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.8.G.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the yellow curve has equation f(x)=x²,

Then the blue curve is f(x) = x²- c

Then the blue curve is f(x) = (x+c)²

Then the blue curve is f(x) = (x-c)²

Then the blue curve is f(x) = x² + c

Tags

CCSS.8.G.A.3

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

(2,-4)

(-2,4)

(8,4)

(-2,-8)

Tags

CCSS.7.EE.A.1

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Transformations of Functions

Which equation describes the transformation of shifting f(x)=x2 two units right?

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

Describe the transformations that mapsy = g(x) to y = - g(x + 6) - 10

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

If the yellow curve has equation f(x)=x2,

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

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

g(x) = -f(x)Describe the transformation to f(x) that results in g(x).

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

Which equation describes the transformation of shifting f(x)=x² two units right?

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

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

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

If the yellow curve has equation f(x)=x²,

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

g(x) = -f(x)
Describe the transformation to f(x) that results in g(x).

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