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Makovka662 [10]
3 years ago
7

Which point is the vertex of the quadratic function f(x)=x2−6x+8?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
4 0
(3,-1)
It needs to be written in standard form before you try to solve it.

jarptica [38.1K]3 years ago
4 0

Another method!

<span><span>Pvertex</span>→<span>(x,y)</span>→<span>(4,9)</span></span>

Explanation:

Given:<span> y=<span>x2</span>−8x+7</span>

This is already in the form <span> y=a<span>(<span>x2</span>+<span>ba</span>)</span>+c as a=1</span>

So we can do this 'trick'

Applying <span><span>x vertex</span>=<span>(−<span>12</span>)</span><span>(<span>ba</span>)</span>→<span>(−<span>12</span>)</span><span>(−8)</span>=+4</span>

<span>To determine <span>yvertex</span></span>

Substitute for <span>x=<span>(−4)</span></span> in the original equation giving:

<span> <span>yvertex</span>=<span><span>(4)</span>2</span>−8<span>(4)</span>+7</span>

<span><span>y vertex</span>=+16−32+7=−<span>9
</span></span>

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