Question

Which statement describes the translation of y = −one half (x − 2)2 − 2 from standard position?

Answer 1

A quadratic in vertex form can be represented as


`y = a(x-h)^(2) +k`

a represents reflection over the x-axis, and a vertical stretch or compress
- is reflection and a fraction (1/2) represents a compression.

-h represents a shift of that many units to the right (-2 shifts to the right two units)

k represents a shift up or down (-2 is shifting down 2 units_

Reflected over the x-axis, Vertically compressed by a factor of 1/2, shifted 2 units to the right, and shifted 2 units down