Write the equation for a parabola whose vertex is (-6,-1) and passes through (-12,17).

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.

The vertex of the required equation is located at (-6,-1)

The parabola passes through (-12,17)

Substituting the coordinates of the vertex, the equation of the function is:

The value of a will be determined by using the given point:

Operating:

Solving:

The equation of the parabola is:

i think is g(1)=-1.

hope that i can