A parabola opening up or down has vertex ( – 6,5) and passes through (– 20, – 29/4). Write its equation in vertex form.

Answer 1

y = a(x+6)^2 + 5

-29/4 = a(-20+6)^2 +5

-29/4 =a(-14)^2 + 5

-29/4 = a196

-29 = 784a

a = -29/784

y = (-29/784)(x+6)^2 +5

is the equation in vertex form y=a(x-h)^2 + k with (h,k) = vertex, a is a compressing factor, a= -29/784, h=-6 k=5

It's a downward opening parabola when a<0