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vertices (x+2)^2

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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vertices (x+2)²

Solution

Minimum (−2, 0)

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Find vertex using averaging the zeros

Find vertex using polynomial form

Find vertex using parabola form

Find vertex using vertex form

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y=(x+2)²

Parabola equation in factored form

The vertex of an up-down facing parabola of the form y=a(x−m)(x−n) is the average of the zeros x_v=m+n2

y=(x+2)²

The parabola parameters are:

a=1, m=−2, n=−2

x_v=m+n2

x_v=(−2)+(−2)2

Simplify

x_v=−2

Plug in x_v=−2 to find the y_v value

y_v=0

Therefore the parabola vertex is

(−2, 0)

If a<0, then the vertex is a maximum value
If a>0, then the vertex is a minimum value
a=1

Minimum (−2, 0)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

vertices (x+2)^2

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