Question

What is the equation of the quadratic function that has x intercepts of -2 and 9?

Answer 1

Answer:

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

Step-by-step explanation:

If the x-intercepts are -2 and 9, then the factors of this quadratic are (x + 2) and (x - 9).  Multiplying these two factors together, we get:

f(x) = (x - 9)(x + 2) = x^2 - 9x + 2x -18, or

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18