Find the parabola through ( 5 , − 5 ) with vertex ( 7 , 3 ) .

Question

Find the parabola through  with vertex .

.

Answer 1

A possible equation is y = a(x-7)^2 + 3.

Since (5,-5) is on the graph, -5 = 4a + 3

4a = -8

a = -2

Equation: y = -2(x-7)^2 + 3