Question

Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.
Vertex: (2, −1); point: (5, 17)

Answer 1

The formula for a parabola in vertex form is f(x) = a(x-h)² + k

Since the vertex is (2,-1), plug those values in for h and k, but not for "a".

y = a(x-2)²-1

Now plug (5,17) into this for x and y, so you can solve for "a".

17 = a(5-2)²-1

17 = 9a-1

18 = 9a

a = 2

y = 2(x-2)²-1 <==ANSWER

Answer 2

thank you

Answer 3

Anytime.