Question

Is the equation on box 4 graphed correctly? Do I need to make corrections?

Answer 1

We have

$g(x)=a\sqrt[3]{b(x-h)}+k$

Reflection over the y-axis multiply the x by -1

Horizontal compression by a factor of 2 multiply x by 2

means b=-2

Vertical shift down 1 subtract -1 of the function

means k=-1

a=1

h=0

so we have the next function for g(x)

$g(x)=\sqrt[3]{-2x}-1$