what is the equation of the parabola in vertex form? vertex = (2,2) point = (3,-1)

Answer 1

Hi Erick,

The general equation of a parabola in vertex form is

y = a(x-h)^2 + k, where (h,k) is the vertex

vertex at (2,2), y=a(x-2)^2 + 2

point (3,-1) on the graph, -1 = a(3-2)^2 + 2

solving for a, a= -3

so equation is y = -3(x-2)^2 + 2

Hope it helps!

Answer 2

The general equation of a parabola in vertex form is

(y – y₀) = a (x – x₀)²