Without graphing the function, state the shift(s) that are applied to the graph of f(x) = x2 to graph the given function. If
the graph of f(x) = x2 must be rotated about the x-axis, state this.
-$$f ( x ) = ( x + 8 ) ^ { 2 }$$
A) down 8 units
B) left 8 units
C) up 8 units
D) right 8 units

Question

Quizplus · Accepted Answer

The function is shifted left 8 units by adding 8 to the x value inside the function. There is no vertical shift indicated, so the graph has not been shifted up or down. There is also no mention of a rotation about the x-axis.

Without Graphing the Function, State the Shift(s) That Are Applied f(x)=(x+8)2f ( x ) = ( x + 8 ) ^ { 2 }f(x)=(x+8)2

Without Graphing the Function, State the Shift(s) That Are Applied $f ( x ) = ( x + 8 ) ^ { 2 }$