Quiz about Transformation of functions review

Question 1

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

Accepted Answer

The graph of y = f(x) was shifted down 5 units.

Answer

The graph of y = f(x) was shifted to the right 5 units.

Answer

The graph of y = f(x) was shifted to the left 5 units.

Answer

The graph of y = f(x) was shifted up 5 units.

Question 2

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

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Translation right 2 units

Answer

Reflection across the x-axis.

Question 3

How did the equation shift from the parent function? y = f(x - 4)

Accepted Answer

Shift right by 4

Answer

Shift left by 4

Answer

Horizontal Stretch by 4

Answer

Vertical Stretch by 4

Answer

Shift down by 4

Question 4

Describe the transformation if y = f(x) is replaced with y = - f(x).

Accepted Answer

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

Answer

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

Question 5

Describe the transformation to y = f(x) if it is replaced with y= (x - 1) - 5.

Accepted Answer

f(x) has been translated to the right one and down five.

Answer

f(x) has been translated to the left one and down five.

Answer

f(x) has been translated to the left one and up five.

Answer

f(x) has been translated to the right one and up five.

Question 6

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

Describe the transformation of y = f(x) to the new function
y = f(1/5x)

Accepted Answer

Horizontal stretch by a factor of 5

Answer

Horizontal shrink by a factor of 1/5

Answer

Vertical stretch be a factor of 5

Answer

Vertically shrink by a factor of 1/5

Question 8

Which graph is NOT a function?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 9

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

Accepted Answer

-f(1/2x) - 4

Answer

f(-2x - 4)

Answer

f(-1/2x) - 4

Answer

-f(2x) - 4

Question 10

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 11

Identify the transformations.

Accepted Answer

horizontal shift to the right 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the left 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the right 2 and vertical shrink by a factor of 3

Answer

horizontal shift to the left 2 and vertical shrink by a factor of 3

Question 12

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

Accepted Answer

The graph of f is shifted 12 units down to create the graph of g.

Answer

The graph of f is shifted 12 units to the right to create the graph of g.

Answer

The graph of f is shifted 12 units up to create the graph of g.

Answer

The graph of f is shifted 12 units to the left to create the graph of g.

Transformation of functions review

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