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

Question

Quizplus · Accepted Answer

The graph of f(x) = x^2 shifted up 2 units to get the given function f(x) = x^2 + 2. No horizontal shift or rotation is involved, so options A, C, and D can be ruled out. The correct answer is option D, which indicates a vertical shift of 2 units up.

Without Graphing the Function, State the Shift(s) That Are Applied f(x)=x2+2f ( x ) = x ^ { 2 } + 2f(x)=x2+2

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