Question

Please help ASAP!!!!!!

f(x) = x^2. What is g(x)?

(10) points!!!

Answer 1

The answer to your question is the letter A. g(x) = -x² - 4

Explanation:

From the graph, we observe that g(x) is a vertical parabola that opens downwards. So, the general formula for this parabola is:

(x - h)² = -4p(y - k)

For g(x)

Vertex = (0, -4)

and p must be -1/4

Then

(x - 0)² = -(y + 4)

Simplify

x² = -y - 4

-Solve for y

-y = x² + 4

y = -x² - 4 or g(x) = -x² - 4