Question

Please help I think these are the right answers!!!

Answer 1

We performed the following operations:

$f(x)=\sqrt[3]{x}\mapsto g(x)=2\sqrt[3]{x}=2f(x)$

If you multiply the parent function by a constant, you get a vertical stretch if the constant is greater than 1, a vertical compression if the constant is between 0 and 1. In this case the constant is 2, so we have a vertical stretch.

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

If you change the sign of a function, you reflect its graph across the x axis.

$h(x)=-2\sqrt[3]{x}\mapsto m(x)=-2\sqrt[3]{x}-1=h(x)-1$

If you add a constant to a function, you translate its graph vertically. If the constant is positive, you translate upwards, otherwise you translate downwards. In this case, the constant is -1, so you translate 1 unit down.