Question

HELP ASAP

if f(x) is vertically stretched by a factor of 4 to g(x) and reflected over the x -axis what is the equation for g(x)

A. g(x)=-x^2+4

B. g(x)=-x^2-4

C. g(x)=-4x^2

D. g(x)=(-4x)^2

Answer 1

Answer: Below

Explanation:

Assuming f(x) = x², vertically stretching means to multiply f(x) by 4, or 4f(x).

4f(x) = 4x² = h(x)

we use h(x) to differentiate our current value from f(x)

Reflecting over the x axis is multiplying h(x) by negative one, or -h(x).

-h(x) = g(x) = -4x²

Our answer is -4x²