Question

Problem 5

Each of the following statements regarding the transformation of the function
y=f(x)
is false.

State what is wrong in the statement and provide the correction that would make the statement true. For example, “The sun is a planet.” is a false statement. One possible correct answer is: “Mistake: The sun is not a planet. Correction: The sun is a star.”


Part a)

When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.


Part b)

When graphing the function
y=−f(x)
, there is a reflection over the
y
-axis.


Part c)

When graphing the function
y=2f(x)
, all of the
y
values would be multiplied by
12
because the transformation is a vertical compression by a factor of 2.

Answer 1

the answer is A When graphing the function

y=f(x+3)

, all of the

x

values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

Answer 2

Part A

When graphing the function y = f(x+3), all of the x values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

• Mistake: This is not a shift right
• Correction: ... all of the x values would be shifted to the left by 3 because the transformation is a shift left by 3 units

Part B

When graphing the function y=−f(x), there is a reflection over the y-axis

• Mistake: This is not a reflection over the y-axis
• Correction: ...there is a reflection over the x-axis

Part C

When graphing the function y=2f(x), all of the y-values would be multiplied by 2 because the transformation is a vertical compression by a factor of 2.

• Mistake: This is not a vertical compression
• Correction: ... a horizontal compression by a factor of 2

Note: "multiplied by 12" considered as typo otherwise this is to be included as correction