Consider the quantic (power of five) function p(x) = 4x5 + 32x2 .
a) Fully factor the polynomial.

b) Use the factored form that your obtained from part a) to sketch the graph of y = p(x).
Label two points on the graph.

10. From the quantic function in question 9, if Lisa took the graph of y = p(x) and applied the
following transformations to produce the new function g(x). (4 marks)
Step 1: Vertical stretch by a factor 2.
Step 2: Vertical translation one unit up.
How may zero(s) does new function g(x) have? Sketch a possible graph and explain your
reasoning