Question

Describe the transformation of g(x) = -f(x) + 6

A. reflection over the x-axis and a vertical shift up by 6 units
B. reflection over the y-axis and a vertical shift down by 6 units
C. reflection over the y-axis and a horizontal shift to the left by 6 units
D. reflection over the x-axis and a horizontal shift to the right by 6 units

Answer 1

A

Explanation:

the "-" sign simply turns everything upside-down. what was above the x-axis is now below it. and vice versa. hence, a reflection over the x-axis.

the "+6" moves then everything up by 6 units. which is a vertical shift up by 6 units.