Below is the graph of a parabola with its vertex and another point on the parabola labeled. Write an equation of the parabola. The points are (-3,5) and (2,-5)

Answer 1

if the parabola's vertex is (-3,5) then the equation of the parabola is

y=a(x+3)^2 + 5 to find a, plug in the other point (2,-5)

-5 = a(5)^2 +5

25a = -10

a =-10/25 = -2/5

y = -(2/5)(x+3)^2 +5