Question

Mason graphed the parent function of a quadratic equation. Then, he reflected the parabola over the x-axis and translated it seven units up and three units to the right. What is the equation of the new parabola?

Answer 1

• y = - (x - h - 3)² - k + 7

Explanation:

Let the patent function be:

• y = (x - h)² + k in the vertex form

Then transformation steps are:

1. Reflection over x- axis, y' = -y

• y' = - (x - h)² - k

2. Translation 7 units up and 3 units to the right, y'' = y' + 7, x' = x - 3

• y'' = - (x - h - 3)² - k + 7