Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:
f(x) = a(x - h)² + k, where (h, k) is the vertex.
f(x) = a(x - 6)² - 9
Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.
8 = a(1)² - 9
8 = a - 9
a = 17
So, plug in a = 17 into the equation.
f(x) = 17(x - 6)² - 9 ←← your answer.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
