Question

The question is Write the correct coordinates for the vertex of the function g(x)

Answer 1

Given the equation of the function:

$g(x)=5(x+2)^2-4$

The given equation is the equation of a parabola

The general form is:

$g(x)=A(x-h)^2+k$

where (h,k) is the coordinates of the vertex

Comparing the given equation with the general form

so,

$\begin{gathered} h=-2 \\ k=-4 \end{gathered}$

so, the coordinates of the vertex = (-2, -4)