Where is the vertex of the graph of $y = x^2 + 4x + 5$ located?

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Where is the vertex of the graph of $y = x^2 + 4x + 5$ located?

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Answer 1 · 2016-05-05T03:18:48

Vertex $(-2, 1)$

Explanation:

Given -

$y=x^2+4x+5$
Find the $x$ co-ordinate of the vertex.
$x-(-b)/(2a)=(-4)/(2 xx 1)=(-4)/2=-2$
Find the $y$ co-ordinate
At $x=-2; y=(-2)^2+4(-2)+5$
$y=4-8+5=9-8=1$
Vertex $(-2, 1)$

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Where is the vertex of the graph of $y = x^2 + 4x + 5$ located?

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Science

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Where is the vertex of the graph of y = x^2 + 4x + 5y = x^2 + 4x + 5 located?

1 Answer

Explanation:

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Where is the vertex of the graph of $y = x^2 + 4x + 5$ located?