Question

Predict what will happen to the graph of the function {(x)= xá, if the functionis changed to f(x)= (x+4)*A. The graph will shift up 4 units.B. The graph will shift to the left 4 units.OC. The graph will shift to the right 4 units.D. The graph will stretch by a factor of 4.

Answer 1

In general, given a function g(x),

`\begin{gathered} g(x)\to g(x+a) \\ a>0\to to\text{ the left} \\ a<0\to\text{ to the right} \end{gathered}`

Therefore, (x+4)^(1/4) is the function (x)^(1/4) shifted 4 units to the left. The answer is option B