Question

1. write the transformed equation in vertex form if $y = x^2$ is reflected over the x-axis and then translated 4 units right and 2 units up.

Explanation:

Step1: Reflect over x-axis

$y = -x^2$

Step2: Translate 4 units right

$y = -(x-4)^2$

Step3: Translate 2 units up

$y = -(x-4)^2 + 2$

Answer:

$y = -(x-4)^2 + 2$