Question

Quadratic graph find a and b

Answer 1

Answers: a = -9 and b = -2

Reason

The template
`y = (x+a)^2 + b` is very close to the vertex form
`y = c(x-h)^2+k` where the vertex is (h,k). The vertex represents either the highest point or the lowest point on the parabola (depending if the parabola opens downward or upward).

In this case h = 9 and k = -2. Also, c = 1.

So we go from
`y = c(x-h)^2+k` to
`y = 1(x-9)^2+(-2)` which can be rewritten as
`y = (x+(-9))^2+(-2)`

Compare that with
`y = (x+a)^2+b` and you'll find that a = -9 and b = -2