Question

cubic & cube root functions unit online practice
complete this assessment to review what you’ve learned. it will not count toward your
how does the graph of $f(x) = \sqrt3{x}$ change when $f(x)$ is replaced by $f(7x)$? (1 point)
\bigcirc the graph moves down 7 units.
\bigcirc the graph moves up 7 units.
\bigcirc the graph does not shift left or right.
\bigcirc the graph moves to the right 7 units.
check answer remaining attempts : 3

Explanation:

Step1: Recall function transformation rules

For a function \( y = f(kx) \), when \( k>0 \), it represents a horizontal compression (if \( k > 1 \)) or stretch (if \( 0

Step2: Analyze the given functions

Original function: \( f(x)=\sqrt[3]{x} \), new function: \( f(7x)=\sqrt[3]{7x} \). The transformation here is a horizontal compression by a factor of \( \frac{1}{7} \) (since \( k = 7>1 \) in \( f(kx) \)), not a shift (up, down, left, or right). So the graph does not shift left or right.

Answer:

The graph does not shift left or right.