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

What is the transformation described?

horizontal shift to the left 4 and vertical shift down 2

horizontal shift to the right 4 and vertical shift down 2

horizontal shift to the left 4 and vertical shift up 2

horizontal shift to the right 4 and vertical shift up 2

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a horizontal translation of the graph of f, 4 units left

The graph of g is a vertical translation 4 units up from the graph f

The graph of g is a horizontal translation of the graph of f, 4 units right

The graph of g is a vertical stretch of the graph of f, by a factor of 7

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Vertical translation up by 2 units.

Which transformation will occur if f(x) = x is replaced with -f(x)?

Vertical translation up by 2 units.

Quiz # 3 on Transformation of functions

Authored by Alpana Mosleh

Mathematics

9th - 12th Grade

CCSS covered

Used 32+ times

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28 questions

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MULTIPLE CHOICE QUESTION

5 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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

-f(x)

f(-x)

f^-1(x)

f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

5 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

5 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

MULTIPLE CHOICE QUESTION

5 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.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

5 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

1 min • 1 pt

Which notation indicates a reflection over the x-axis

f(-x)

-f(x)

Tags

CCSS.HSF.BF.B.3

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Quiz # 3 on Transformation of functions

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

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

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

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

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

Which notation indicates a reflection over the x-axis

Reflect this point over the x-axis

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

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

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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

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

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)?

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