2. Describe the transformations associated with f(x) = −(x + 3)^2 + 1, if the parent function is y = x 2 .
3. Let h(x) = 3x^3 + 7x^2 − 14x − 17. Express h(x) in the form h(x) = (x + 3)q(x) + r. Use the Remainder Theorem to check that you have the correct remainder. You may use any technique of polynomial division, but show all your work.