Question

shifting the cube root function practice
complete this assessment to review what youve learned. it will not count toward your g
given the function $f(x) = \sqrt3{x}$, what is the new function when $f(x)$ is shifted up 5 units?
option #1: $f(x) = \sqrt3{x + 5}$
option #2: $f(x) = \sqrt3{x - 5}$
option #3: $f(x) = \sqrt3{x} + 5$
option #4: $f(x) = \sqrt3{x} - 5$
(1 point)

Explanation:

Step1: Recall Vertical Shift Rule

For a function \( y = f(x) \), a vertical shift up by \( k \) units is given by \( y = f(x)+k \).

Step2: Apply the Rule to \( f(x)=\sqrt[3]{x} \)

Here, we shift up by 5 units, so \( k = 5 \). Substituting into the rule, the new function is \( f(x)=\sqrt[3]{x}+5 \).

Answer:

Option #3: \( f(x)=\sqrt[3]{x}+5 \)