Write the equation in vertex form for the graph below.

Given:

The graph of the parabola with vertex (-2,-4)

We need to determine the equation of the parabola in vertex form.

Equation in vertex form:

The general form of the equation of the parabola in vertex form is given by

where a is the constant and (h,k) is the vertex.

Substituting the vertex (-2,-4) in the above formula, we get;

 -------- (1)

To determine the value of a, let us substitute the point that the parabola passes through.

Hence, substituting the point (0,8) in equation (1), we get;

Thus, the value of a is 3.

Substituting the value a = 3 in equation (1), we get;

Thus, the equation of the parabola in vertex form is

step-by-step explanation:

no solution.