Question

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = −

1
8
(x − 2) + 3?

A) reflected over x-axis, stretched vertically, shifted left 2 units, and shifted down 3 units
B) reflected over x-axis, compressed vertically, shifted right 2 units, and shifted up 3 units
C) reflected over y-axis, stretched vertically, shifted left 2 units, and shifted down 3 units
D) reflected over y-axis, compressed vertically, shifted right 2 units, and shifted up 3 units

Answer 1

B) reflected over x-axis, compressed vertically, shifted right 2 units, and shifted up 3 units

Explanation:

ƒ(x) = −⅛(x − 2)² + 3

- minus indicates reflection along the x-axis

⅛ indicates a vertical compression

x - 2 indicates 2 units towards right

+3 indicates 3 units upwards