Question

HELPPP!!!!!!! The graph of F(x) shown below resembles the graph of G(x) = x^2 but it has been stretched somewhat and shifted. Which of the following could be the equation of F(x)?

Answer 1

Option C.

Explanation:

Equation of the parent function graphed in the figure is,

G(x) = x²

By reflecting the parent function over the x-axis,

G'(x) = -x²

By shifting G'(x) by 2 units down over the y-axis,

f(x) = -x² - 2

Therefore, transformed form of the parent function will be

f(x) = -x² - 2

Therefore, Option C will be the answer.