Question

What are the effects on the graph of f(x)=³√x when it’s transformed to h(x)=4³√x+7

Answer 1

`\begin{gathered} \text{ Given} \\ f(x)=\sqrt[3]{x}\Longrightarrow h(x)=4\sqrt[3]{x+7} \end{gathered}`

the coefficient 4 of h(x) means that it has a vertical stretch with a factor of 4

the "+7" inside the radical also has the effect of horizontal shifting the function 7 units to the left.

In conclusion, the effects on the graph is a vertical stretch with a factor of 4, and a horizontal shift of 7 units to the left.