Answer:
B.[tex]y=2x^3[/tex]
Step-by-step explanation:
A. y = x
Given a linear function. There is no number added or subtracted with x. also the number is no multiplied with x. So this is a parent function
B.[tex]y=2x^3[/tex]
Here 2 is multiplied with [tex]x^3[/tex]. so there will be stretch or compression on graph. The parent function for [tex]y=2x^3[/tex] is [tex]y=x^3[/tex]
This is not an example of parent function
C.[tex]y=\frac{1}{x}[/tex]
There is no number attached with x. so this is a parent rational function.
D.[tex]y=2^x[/tex]
2^x is an exponential function. It is an example of parent function.