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The vertex of this parabola is at (-3,2) Which of the following could be its equation


A. Y=4(x-3)^2+2

B. Y=4(x+3)^2-2

C. Y=4(x-3)^2-2

D. Y=4(x+3)^2+2

The vertex of this parabola is at 32 Which of the following could be its equation A Y4x322 B Y4x322 C Y4x322 D Y4x322 class=

Respuesta :

Answer:

D

Step-by-step explanation:

Vertex form is y=a(x-h)^2+k where (h,k) is vertex

So replace h with -3 and k with 2  

y=a(x--3)^2+2

y=a(x+3)^2+2

So the only choice it could be is D

anuksha0456

The equation of the parabola with the given vertex (-3, 2) is

Y = 4(x + 3)² + 2. Hence, option D. is the right choice.

What is a parabola?

A parabola is a mirror-symmetrical planar curve that is nearly

U-shaped.

What is the vertex form of a parabola?

The parabola with a vertex at point (h, k) can be written as an equation:

y = a(x - h)² + k.

How do we solve the given question?

We are informed that the vertex of a parabola is at (-3,2). We are asked to find its equation.

We simply put h = -3, and k = 2, in the equation of a parabola in the vertex form. So, our equation will be:

y = a(x - (-3))² + 2

or, y = a(x + 3)² + 2.

This equation is identical to option D. Y=4(x+3)^2+2. So we will say that option D. can be an equation to the parabola with vertex (-3, 2).

Learn more about equations of the parabola at

https://brainly.com/question/4061870

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