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.
-$$f ( x ) = ( x - 6 ) ^ { 2 } + 11$$
A) right 11 units, down 6 units
B) left 6 units, up 11 units
C) right 6 units, up 11 units
D) rotate about x-axis, right 6 units, up 11 units

Question

Quizplus · Accepted Answer

The function f(x) = (x-6)^2+11 is a transformation of the function f(x) = x^2. The x^2 graph is shifted 6 units to the right and 11 units up to create the new graph. No rotation about the x-axis is necessary. Therefore, the correct choice is C, which states that the graph is shifted right 6 units and up 11 units.

Without Graphing the Function, State the Shift(s) That Are Applied f(x)=(x−6)2+11f ( x ) = ( x - 6 ) ^ { 2 } + 11f(x)=(x−6)2+11

Without Graphing the Function, State the Shift(s) That Are Applied $f ( x ) = ( x - 6 ) ^ { 2 } + 11$