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.