Question

In Desmos: type in the parent function y= ³ square root of x; y= 5³ square root of x + 1

List all the transformation that occurred

Answer 1

$$y=5\sqrt[3]{x+1}$$

Parent function $f(x)=\sqrt[3]{x}.$

To graph $g(x)=\sqrt[3]{x+1},$ we shift the graph of $f$ to the left 1 unit.

To graph $h(x)=5\sqrt[3]{x+1},$ stretch the graph of $g$ vertically by a factor of $5.$