Question

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

Answer 1

If you think about the equation ax^2+bx+c and recall that a controls the steepness of the parabola, and take into account that it is symmetric about the y axis, you should be able to come up with the equation, start with the roots which is the difference of squares (x-1)(x+1) and work backwards.