Determine the equation of the parabola in vertex form that has a vertex of (-2, 3) and passes through (0 , -1 ). Use this equation to determine which points below are on the parabola.

y = - (x + 2)² + 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 2, 3), thus

y = a(x + 2)² + 3

To find a substitute (0, - 1) into the equation

- 1 = a(0 + 2)² + 3 ( subtract 3 from both sides )

- 4 = 4a ( divide both sides by 4 )

a = - 1

y = - (x + 2)² + 3 ← equation in vertex form

c: lkllmn.

hope it's you