describe how the graph of the parent function $y = sqrt3{x}$ is transformed when graphing $y=sqrt3{8x}-3$…

describe how the graph of the parent function $y = sqrt3{x}$ is transformed when graphing $y=sqrt3{8x}-3$. the graph is translated 3 units

describe how the graph of the parent function $y = sqrt3{x}$ is transformed when graphing $y=sqrt3{8x}-3$. the graph is translated 3 units

Answer

Answer:

down

Explanation:

Step1: Analyze function form

The general form of a transformed function is $y = a\sqrt[3]{b(x - h)}+k$. In $y=\sqrt[3]{8x}-3$, comparing with the parent - function $y = \sqrt[3]{x}$, we have $a = 1$, $b = 8$, $h = 0$, and $k=-3$.

Step2: Identify vertical translation

The value of $k$ in the transformed function $y=a\sqrt[3]{b(x - h)}+k$ represents the vertical translation. When $k=-3$, the graph of the parent - function is translated 3 units down.