Question

The graph of the function g(x) is a transformation of the parent function f(x)=x^2.

Which equation describes the function g?

Answer 1

Option C. g(x) = x² - 4

Explanation:

Since graph of a function is f(x) = x² so it's a parabola opening vertically up (symmetric to the y-axis).

Now when we transform this function by shifting (-4) on y-axis as shown, the parent function will shift down by 4 units.

Therefore the new function will be g(x) = x² - 4

Option C. g(x) = x² - 4 is the answer.