Question

Describe the transformation for g(x) = -f(x) - 5.

A. reflection over the x-axis and a vertical translation down by 5 units
B. reflection over the y-axis and a vertical translation up by 5 units
C. reflection over the x-axis and a horizontal translation to the right by 5 units
D. reflection over the y-axis and a horizontal translation to the left by 5 units

Answer 1

A) reflection over the x-axis and a vertical translation down by 5 units

Explanation:

• Making the output negative reflects the graph over the x-axis
• subtracting or adding a constant from/to the function translates it down/up (along the y-axis) by that many units