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

When the value of x is increased or decreased in a function (that is, x' = x + a), that means a horizontal translation is happening on the function.

When the value of x increases, the function is shifted to the left, and when the value of x decreases, the function is shifted to the right.

In this case, the expression f(x+8) means the value of x is added to 8, therefore we have a shift to the left.

Correct option: B.