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

Question

Quizplus · Accepted Answer

The negative sign in front of the function indicates a reflection about the x-axis, therefore rotation about the x-axis is necessary.
The function is shifted right 2 units and down 6 units.

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

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