Question

I need help really on what they mean shift up on graph like would that be negative or positive

Answer 1

Answer:

Given that,

$f(x)=\sqrt[3]{x}------(1)$

It is changed to,

$f(x)=\frac{1}{2}\sqrt[3]{x}+4-----(2)$

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.