Question

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

Answer 1

The equation that represents the equation of the parabola is:

`y=4(x+3)^2+2`

Explanation:

We know that the general equation of the parabola with vertex at (h,k) is represented with the help of the equation:

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

where a is a constant and if a>0 then the parabola is open upward.

and if a<0 then the parabola is open downward.

Here we have the vertex of the parabola at (-3,2)

and a=4 in each of the options.

i.e. we have: h=-3 and k=2

Hence, the equation of the parabola is:

`y=4(x-(-3))^2+2\\\\i.e.\\\\y=4(x+3)^2+2`

The correct option is:

Option: B

Answer 2

vertex form of the equation for a parabola

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

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

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

Choice B