writing a equation of a parabola that satisfies the conditions

Question

Find the Parabola Through (6,6) with Vertex (5,10)

Answer 1

y = a(x - 5)² + 10

6 = a(6 - 5)²+ 10

6 = a + 10

-4 = a

 

y = -4(x - 5)² + 10