Suppose a parabola has vertex (–8, –7) and also passes through the point (–7, –4). Write the equation of the parabola in vertex form.

We have been given that a parabola has vertex and also passes through the point . We are asked to write the equation of the parabola in vertex form.

We know that vertex form of parabola in format , with a vertex at point (h,k).

Let us find the value of a using our given information as:

Now we will substitute the coordinates of point to solve for a as:

Therefore, our required equation would be .