Question

0

Answer 1

For phase shift, refer to

SHIFTS:
f(x)= ∛x ⇒ f(x)= ∛(x \(\normalsize\color{blue}{ +~\rm{c} }\) ) , c units left.
f(x)= ∛x ⇒ f(x)= ∛(x \(\normalsize\color{blue}{ -~\rm{c} }\) ) , c units right.
f(x)= ∛x ⇒ f(x)= ∛(x )\(\normalsize\color{blue}{ -~\rm{c} }\) , c units down.
f(x)= ∛x ⇒ f(x)= ∛(x )\(\normalsize\color{blue}{ +~\rm{c} }\) , c units up.



STRETCHES.
f(x)= ∛x ⇒ f(x)= \(\normalsize\color{blue}{ \rm{a} }\)∛x , when `│a│> 1` stretches vertically.

f(x)= ∛x ⇒ f(x)= \(\normalsize\color{blue}{ \rm{a} }\)∛x , when `│a│< 1` stretches horizontally.

the period, I forgot....

Answer 2

you are reflecting (should say just mirroring) the plain sine function, because you have a negative sign.
Then you are making it open with like an acute angle (as opposed to an obtuse angle).
and you are shifting it 5 units down after that.