7. Consider the parent function f(x) = x3 and the transformed function g(x) = -4(-x + 2)3 + 1, quantitatively explain the transformations to the parent function, f(x) that will produce g(x). (4 points) Answer 8. Consider the function f(x) = x5 + 5x4 + 4x3 - 6x2 + 8x + 24 a. (2 points) List the possible rational roots of the given function Work: Answer b. (4 points) After using your grapher to determine which of these rational roots might be possible, use long division or synthetic division to write the function in factored form. Include both linear and irreducible quadratic factors. Work: Answer c. (4 points) List all of the real and complex zeros of the function. Work