Respuesta :

gmany

Answer:

y = a(x + 3)² - 2 where a is any real number except 0.

Step-by-step explanation:

The vertex form of a parabola:

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

(h, k) - vertex

We have the vertex at (-3, -2) → h = -3 and k = -2.

Substitute:

[tex]y=a(x-(-3))^2+(-2)=a(x+3)^2-2[/tex]

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

What is a parabola?

  • Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.

What are the 4 types of parabola?

  • There are three types of parabolas.
  • The three forms are: vertex form, standard form and intercept form.
  • Each form provides you a different key feature for the graph.

What is parabola and examples?

  • A parabola is nothing but a U-shaped plane curve.
  • Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix.
  • Terms related to Parabola.

What is equation of parabola?

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

According to the question:

Applying  value in equation gives.

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

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

Learn more about parabola here:

brainly.com/question/17987697

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