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.
-$$f ( x ) = ( x - 7 ) ^ { 2 }$$
A) down 7 units
B) up 7 units
C) right 7 units
D) left 7 units

Question

Quizplus · Accepted Answer

The function $f(x) = (x - 7)^2$ represents a horizontal shift of the parent function $f(x) = x^2$ to the right by 7 units. This is because the subtraction inside the parentheses affects the x-coordinate, moving the graph horizontally.

Without Graphing the Function, State the Shift(s) That Are Applied f(x)=(x−7)2f ( x ) = ( x - 7 ) ^ { 2 }f(x)=(x−7)2

Without Graphing the Function, State the Shift(s) That Are Applied $f ( x ) = ( x - 7 ) ^ { 2 }$