Question

1What is the effect on the graph of the function f(x) = when f(x) is replaced with f(x + 8)?xA)shifted 8 units upB)shifted 8 units downC)shifted 8 units leftD)shifted 8 units right0

Answer 1

The function f(x) = 1/x.

Determine the function for f(x+8).

$f(x+8)=\frac{1}{x+8}$

It can be observed, in function the value of variable is replaced by increasing it by 8 units. So function shifts 8 units right as compare to previous function.

Thus graph of function f(x+8) shifts 8 units to the left of graph of function f(x).

Answer: Option C.