Question

NEED HELP ASAP! 25 POINTS! Find the equation, in vertex form, for a parabola with a vertex of (2,-5) that goes through the point (3,4). (Answers in picture)

Answer 1

Standard form of the parabola function: (y-k) = a(x-h)²

vertex (h,k)==> vertex (2,-5) [given]. Now plug==> y+5 =a(x-2)²

To calculate a, plug in the equation the coordinates of A(3,4)

4+5 = a(3-2)² ==> 9=a

Finally the equation is f(x) = y+5 = 9(x-2) or y = 9(x-2)² -5

Or f(x) =y = 9x² - 36x + 3