Question

what is the effect on the graph of the function f(x) = x² when f(x) is changed to f(x + 8) ?A) shifted upB) shifted leftC) shifted right D) shifted down

Answer 1

- The rule for this transformation is given below:

`\begin{gathered} f(x)\to f(x+h) \\ when\text{ h is positive, then, the graph is shifted left} \\ when\text{ h is negative, then, the graph is shifted right} \end{gathered}`

- Based on this rule, f(x + 8) will shift the graph 8 units to the left

Final Answer

Shifted left (OPTION B)