Question

determine the equation of the parabola with vertex (-2,5) and that passes through (4,-8)

Answer 1

There are several forms of the equation of a parabola. When the vertex is known, the appropriate equation is\[y=a(x-h)^2 + k\] where a is a constant, (h,k) is the vertex, and (x,y) represents any point on the graph of the parabola.

Answer 2

think: what do you need to do to determine the value of 'a' ??

Answer 3

need any more help?

Answer 4

just plug in the values into the above equation
y = -8, x=4, h = -2 and k = 5

you'll then have an equation with a as the unknown
solve for a