Quiz about Describing Effects of Transformations Functions

Question 1

Describe the transformation of y = f(x) for the new function
y = f(x - 2)

Accepted Answer

The graph of y = f(x) was shifted to the right 2 units.

Answer

The graph of y = f(x) was shifted to the left 2 units.

Answer

The graph of y = f(x) was shifted up 2 units.

Answer

The graph of y = f(x) was shifted down 2 units.

Question 2

Describe the transformation of y = f(x) for the new function
y = f(x + 2)

Accepted Answer

The graph of y = f(x) was shifted to the left 2 units.

Answer

The graph of y = f(x) was shifted to the right 2 units.

Answer

The graph of y = f(x) was shifted up 2 units.

Answer

The graph of y = f(x) was shifted down 2 units.

Question 3

Describe the transformation of y = f(x) for the new function
y = f(x) + 2

Accepted Answer

The graph of y = f(x) was shifted up 2 units.

Answer

The graph of y = f(x) was shifted to the right 2 units.

Answer

The graph of y = f(x) was shifted to the left 2 units.

Answer

The graph of y = f(x) was shifted down 2 units.

Question 4

Describe the transformation of y = f(x) for the new function
y = f(x) - 2

Accepted Answer

The graph of y = f(x) was shifted down 2 units.

Answer

The graph of y = f(x) was shifted to the right 2 units.

Answer

The graph of y = f(x) was shifted to the left 2 units.

Answer

The graph of y = f(x) was shifted up 2 units.

Question 5

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 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.

Answer

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

Question 6

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 to the left 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 up 5 units.

Answer

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

Question 7

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 up 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 down 5 units.

Question 8

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 9

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

Accepted Answer

The graph of y = f(x) compressed horizontally by a factor of 1/5

Answer

The graph of y = f(x) was stretched horizontally by a factor of 5

Answer

The graph of y = f(x) was compressed vertically by a factor of 1/5

Answer

The graph of y = f(x) was stretched vertically by a factor of 5

Question 10

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

Accepted Answer

The graph of y = f(x) was stretched horizontally by a factor of 5

Answer

The graph of y = f(x) compressed horizontally by a factor of 1/5

Answer

The graph of y = f(x) was compressed vertically by a factor of 1/5

Answer

The graph of y = f(x) was stretched vertically by a factor of 5

Question 11

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

Accepted Answer

The graph of y = f(x) was stretched vertically by a factor of 5

Answer

The graph of y = f(x) compressed horizontally by a factor of 1/5

Answer

The graph of y = f(x) was stretched horizontally by a factor of 5

Answer

The graph of y = f(x) was compressed vertically by a factor of 1/5

Question 12

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

Accepted Answer

The graph of y = f(x) was compressed vertically by a factor of 1/5

Answer

The graph of y = f(x) compressed horizontally by a factor of 1/5

Answer

The graph of y = f(x) was stretched horizontally by a factor of 5

Answer

The graph of y = f(x) was stretched vertically by a factor of 5

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

PRECALCULUS ALERT !!
Describe the transformation of y = g(x) for the function
y = 2g(x - 3) + 5

Accepted Answer

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

Answer

Shifted up 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

Answer

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

Answer

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 1/3

Question 16

PRECALCULUS ALERT !!
Describe the transformation of y = g(x) for the function
y = - g(x + 6) - 10

Accepted Answer

Shifted down 10 units
Shifted left 6 units
flipped vertically over the x-axis

Answer

Shifted up 10 units
Shifted left 6 units
flipped vertically over the x-axis

Answer

Shifted up 10 units
Shifted right 6 units
flipped vertically over the x-axis

Answer

Shifted up 10 units
Shifted right 6 units
flipped horizontally over the y-axis

Describing Effects of Transformations Functions

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