Question

If f(x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g(x)?

Answer 1

g(x) = -x² - 4

Explanation:

In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)

k = -4 because we are moving 4 units down

a = -1 because we are just reflecting over the x-axis