Question

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

Explanation:

Step1: Recall Vertical Shift Rule

For a function \( y = f(x) \), shifting up \( k \) units (where \( k>0 \)) gives \( y = f(x)+k \).

Step2: Apply the Rule to Given Function

Given \( f(x)=\sqrt[3]{x} \) and shifting up 4 units, so \( k = 4 \). The new function is \( f(x)=\sqrt[3]{x}+4 \).

Answer:

Option #3: \( f(x)=\sqrt[3]{x}+4 \)