What is the vertex form of $y = x^{2} + 10 x + 25$ $y= x^2 + 10x +25$ ?

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What is the vertex form of $y = x^{2} + 10 x + 25$ $y= x^2 + 10x +25$ ?

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Answer 1 · 2017-04-28T12:03:27

$y = {(x + 5)}^{2}$ $y=(x+5)^2$

Explanation:

Given : $y = x^{2} + 10 x + 25$ $y=x^2 +10x+25$
$y = {(x + 5)}^{2}$ $y = (x+5)^2$
This is the vertex form of the equation of curve denoted by the latter.
Definition : vertex form of a parabola is given by
$y = a {(x - h)}^{2} + k$ $y= a(x-h)^2 + k$
where (h,k) is the vertex of the parabola and $x - h = 0$ $x-h=0$ is the axis of symmetry .

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What is the vertex form of $y = x^{2} + 10 x + 25$ $y= x^2 + 10x +25$ ?

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What is the vertex form of $y = x^{2} + 10 x + 25$ $y= x^2 + 10x +25$ ?