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: -4 and 7, point (-3, -12)

Answer 1

First, come with the factors from the zeros.

y=a(x+4)(x-7)

Then, plug in the coordinate to find what a value will make the function go through that point

-12=a(-3+4)(-3-7)

-12=a(1)(-10)

-12=-10a Divide both sides by -10

-12/-10=a Simplify

a=6/5

y=6/5(x+4)(x-7)