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caylus
Hello,

Trying to put  x=-3 and y=-5, we must find an equality.

A) (-3+3)²+5=0+5=5 no

B) -3(-5+5)²==-3*0=0 not -3: no

C) (-3-5)²+3=64+3 not -5 :no

D) (-3+3)²-5=0-5=-5 Yes

Answer D

[tex]y = (x+3)^{2} -5[/tex] is the equation of parabola.

Standard form of parabola in vertex form

The Vertex formula of a parabola is used to find the coordinates of the point where the parabola crosses its axis of symmetry.

The equation of a parabola in vertex form is

[tex]y = a(x-h)^{2} +k[/tex]

Given

vertex (h, k) = (-3, -5)

The equation of a parabola in vertex form is

[tex]y = a(x-h)^{2} +k[/tex]

Where (h, k) are the coordinates of the vertex and a is a multiplier

[tex]y = (x-(-3))^{2} +(-5)[/tex]

[tex]y = (x+3)^{2} -5[/tex]

[tex]y = (x+3)^{2} -5[/tex] is the equation of parabola.

Find out more information about parabola in vertex form here

https://brainly.com/question/27973602

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