Question

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

Answer 1

Given:

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

Required:

Find the equation of the parabola.

Step-by-step explanation:

The equation of the parabola in vertex form is:

`y=a(x-h)^2+k`

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:

`y=3(x+2)^2+5`