posted by Emma on .
a parabola with turning point at (1,-2) and passing through the origin.find the equation of this parabola.
how do i do this? can someone please show me how to solve it step by step?thanks!
You know that at x = 0 the function is zero. Because the turning point is at
x = 1 must be in the middle of the two zeros of the function, the other zero is at x = 2.
Therefore the function is of the form:
y = A(x - 0) (x - 2) = Ax(x-2)
Solve for A by demanding that at x = 1 y = -2