The graph of a quadratic function f (x) intersects the x-axis At - 3 and 5. Create a function that would produce these results.

f (x) = x² - 2x - 15

Step-by-step explanation:

∵ The function intersect x-axis at - 3 and 5

∴ f (x) = 0 at x = - 3, 5

∵ The form of the quadratic equation is ⇒ ax² + - b/a x + c/a = 0

ax² - b/a x + c/a = 0

Where the sum of its roots is b/a and their multiplication is c/a

∵ a = 1

∵ - 3, 5 are the roots of the quadratic equation

∴ b = - 3 + 5 = 2

∴ c = - 3 * 5 = - 15

∴ f (x) = x² - 2x - 15