What is the vertex form of $y = (x + 2) (x - 2)$ $y=(x+2)(x-2)$ ?

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What is the vertex form of $y = (x + 2) (x - 2)$ $y=(x+2)(x-2)$ ?

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Answer 1 · 2017-06-20T07:33:02

$y = x^{2} - 4$ $y=x^2-4$

Explanation:

$y has roots x = \pm 2$ $" y has roots " x=+-2$

$the x-coordinate of the vertex is at the midpoint of the roots$ $"the x-coordinate of the vertex is at the midpoint of the roots"$

$\Rightarrow x_{vertex} = \frac{- 2 + 2}{2} = 0$ $rArrx_(color(red)"vertex")=(-2+2)/2=0$

$\Rightarrow y_{vertex} = (0 + 2) (0 - 2) = - 4$ $rArry_(color(red)"vertex")=(0+2)(0-2)=-4$

$the equation of a parabola in vertex form$ $"the equation of a parabola in "color(blue)"vertex form"$ is

$∙ y = a {(x - h)}^{2} + k$ $• y=a(x-h)^2+k$

$where (h, k) are the coordinates of the vertex and a is$ $"where " (h,k)" are the coordinates of the vertex and a is "$
$a constant$ $"a constant"$

$here (h, k) = (0, - 4) and a = 1$ $"here " (h,k)=(0,-4)" and " a=1$

$\Rightarrow y = x^{2} - 4 \leftarrow in vertex form$ $rArry=x^2-4larrcolor(red)" in vertex form"$

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What is the vertex form of $y = (x + 2) (x - 2)$ $y=(x+2)(x-2)$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

What is the vertex form of y=(x+2)(x−2)y=(x+2)(x-2)?

1 Answer

Explanation:

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Impact of this question

What is the vertex form of $y = (x + 2) (x - 2)$ $y=(x+2)(x-2)$ ?