x-intercepts of a quadratic function.

Question

Consider the following x-intercepts of a quadratic function. (0, 0), (10, 0) (a) Find one quadratic function with the given x-intercepts whose graph opens upward and another equation whose graph opens downwards

Answer 1

Use the factored form:

f(x) = a·(x-0)·(x-10) = a·x·(x-10)

Choose any positive value for the constant a for the function whose graph opens up, and any negative value for the constant a for the function whose graph opens down.