Question

ALGEBRA!!

Answer 1

Vertex form: y = a(x-h)^2 + k

Let's find a.

Substitute vertex and point on parabola into vertex equation:

-1 = a(2-4)^2 - 3

Solve for a:

-1 = a*4 - 3

2 = a*4

a = 1/2

The vertex equation for this parabola is y = 1/2(x-4)^2 - 3

By elimination, the answer is D, y = 1/2(x-4)^2 and y = (1/2)x^2 - 4x + 5