Question

The graph translated horizontally two units right, vertically four units down and reflected across x-axis from its parent function f(x) = x^2. What is the new equation?

Answer 1

Parent Function:              f(x) = x^2

Right 2 units:                    f(x) = (x^2 - 2)

Down 4 units:                   f(x) = (x^2 - 2) - 4

Reflection over x-axis:     f(x) = - (x^2 -2) + 4

Answer:                            f(x) = - (x^2 -2) + 4