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Quadratic graph find a and b

Quadratic graph find a and b-example-1
User Geesu
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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

User Rizki
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