PLEASE HELP. 50 POINTS AND BRAINLIEST IF YOU SHOW YOUR WORK Find equation of parabola with vertex (8,-1) and which passes through point (-5,9)

Step-by-step explanation:

We can use the vertex form of a quadratic, which is given by:

Where (h, k) is the vertex.

Since we are given that the vertex is (8, -1), h = 8 and k = -1. Substitute:

Next, we are given that the parabola passes through the point (-5, 9). So, when x = -5, y = 9:

Solve for a:

So:

So, the equation of our parabola is:

8

step-by-step explanation: