please help and thank you.

Answer:
B the parent function is periodic
Step-by-step explanation:
We can see from the graph that
A it is a polynomial
C that is has 3 real root ( where it crosses the x axis)
D that is contains the point (0,-20)
What is not true is that it is periodic. That would mean it repeats after a certain time.
Answer:
Step-by-step explanation:
Let's just start with the answer. The parent graph is NOT periodic. Graphing a Sine wave or any of the fundamental trig functions gives a period (or repeating function). A periodic function is included below.
The graph of the function does have three roots. They are +/-2 and - 5
0, - 20 is one of the points on the graph.
The problem is A. The parent function does not have to a polynomial. It could just be y = x^3. On the other hand it can be as this one is. I suppose the author of the question is accepting the ambiguity as true.