Question

How do you write the quadratic equation given `a=-2` and the vertex `(-5, 0)`?

Answer 1

Vertex Form of Quadratic Function

`y=a(x-h)^2+k`,

where `(h,k)` is the vertex.

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Since `a=-2` and `(h,k)=(-5,0)`, we have

`y=-2[x-(-5)]^2+0=-2(x+5)^2`.

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I hope that this was helpful.