1. Let f(x) = x^2 and let g(x) = 2(x + 1)^2 + 3.
a) Graph both the parent function (f(x)) and its transformation (g(x)) on the graph provided. Be sure to label them.

b) Describe the transformations (3) and explain how the parent function was manipulated using complete sentences.

c) State the Domain and Range for g (x).

d) Solve for g (5). (Plug in!)

e) Is this a polynomial? (Hint: Turn into standard form.)