Question

Write the equation of the quadratic function with roots -1 and 1 and a vertex at (0, -3).

Answer 1

where are you stuck?

Answer 2

I am just not sure of the format in which to write this type of equation. Again I was not thoroughly introduced to the unit so I am having trouble with the basics

Answer 3

quadratic means the exponent of x is 2, right?

Answer 4

The vertex form of a quadratic is y = a(x-h)^2 +k, right?

Answer 5

vertex (h,k) = (0,-3) , hence y = ax^2 -3
now, it has roots, that is y =0 at those roots. Just pick x =-1, put it into the function to get a
0=a(-1)^2 -3--> a =3
now, you have all information, just plug in
y = 3x^2 -3

Answer 6

awesome, thanks!