Given

Your friend attempted to describe the transformations applied to graph of

\(\Rightarrow f(x)=\frac{1}{2}\sin(-\frac{1}{3}(x+30))+1\)

a)f(x) has been reflected vertically

\(\Rightarrow\) No, the f(x) has been reflected horizontally.

b)f(x) has been stretched vertically by a factor of 2.

\(\Rightarrow\) No, the f(x) has been compressed by a factor of \(\frac{1}{2}\).

c)f(x) has been stretched horizontally by a factor of 3.

\(\Rightarrow\) No, the f(x) has been stretched horizontally by a factor of \(\frac{1}{3}\)

d)f(x) has a phase shift left 30 degrees

\(\Rightarrow\) Yes, f(x) has a shift left 30 degrees

e)f(x) has been translated up 1 unit

\(\Rightarrow\) Yes, f(x) has been translated up 1 unit