Find the equation of a quadratic function that has the given x-intercepts and contains the given point. Express each function in factored form. roots: -3 and 5, point (4, -3)

Answer 1

If -3 is a root, then (x+3) is a factor.

If 5 is a root, then (x-5) is a factor.

So far we have y = A(x+3)(x-5).

Use the coordinates of the given point (4, -3) to help find the value of A. When x = 4, y = -3.

So we have:

-3 = A (7)(-1)

Solve for A and substitute back into the equation for y.

Check it out:

desmos.com/calculator/fmso5idnnk