The vertex of this parabola is at (-2, 5). Which of the following could be itsequation?4111-5(-2,5)10O A. y=3(x+ 2)² +5OB. y= 3(x-2)²-5OC. y= 3(x-2)² +5OD. y=3(x+2)²-5015

The vertex of this parabola is at 2 5 Which of the following could be itsequation411152510O A y3x 2 5OB y 3x25OC y 3x2 5OD y3x25015 class=

Respuesta :

Given:

The vertex of this parabola is at (-2, 5).

Required:

Find the equation of the parabola.

Explanation:

The equation of the parabola in vertex form is:

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

We can observe from the options that the value of a = 3 and vertex (h,k) is given (-2,5).

So the equation of the parabola will be:

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