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ivann1987 [24]
3 years ago
9

Find vertex of: y=(x-4)(x+8)

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

(-2,-36)

Step-by-step explanation:

y=(x-4)(x+8)

<u>1) Find the zeros of the parabola</u>

The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.

Therefore, x=4 and x=-8.

<u>2) Find the x-coordinate of the vertex</u>

To do this, we take the average of our zeros.

\frac{4+(-8)}{2} \\=\frac{-4}{2} \\=-2

Therefore, the x-coordinate of the vertex is -2.

<u>3) Find the y-coordinate of the vertex</u>

Plug the x-coordinate back into the original equation

y=(-2-4)(-2+8)\\y=(-6)(6)\\y=-36

Therefore, the y-coordinate of the vertex is -36.

Therefore, the vertex of the parabola is (-2,-36).

I hope this helps!

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