Answer:
Given that,
[tex]f(x)=\sqrt[3]{x}------(1)[/tex]
It is changed to,
[tex]f(x)=\frac{1}{2}\sqrt[3]{x}+4-----(2)[/tex]
To find the transformation the above graph changed.
First the given function is multiplied by the factor 1/2 to the function of x, it results in shrinking the graph vertically by the factor 1/2.
The graph will shrink vertically by the factor 1/2.
Here, the y intercept of equation (1) is 0
y intercept of equation (2) is 4.
Since the function of x is added by 4, the graph is shifted 4 units up.
The graph will shift 4 units up and will shrink vertically by a factor of 1/2.
Answer is: The graph will shift 4 units up and will shrink vertically by a factor of 1/2.
