Without graphing the function, state the shift(s) that are applied to the graph of $f(x)=x^{2}$ to graph the given function. If the graph of $f(x)=x^{2}$ must be rotated about the $x$-axis, state this.
-$f(x)=-(x-2)^{2}-4$
A) left 2 units, down 4 units
B) rotate about $x$ - axis, left 2 units, down 4 units
C) right 2 units, down 4 units
D) rotate about $\mathrm{x}$ - axis, right 2 units, down 4 units

Question

Quizplus · Accepted Answer

The negative sign outside the squared term indicates a reflection (rotation) about the x-axis. The expression $(x-2)^2$ indicates a shift to the right by 2 units, and the $-4$ indicates a shift down by 4 units.

Without Graphing the Function, State the Shift(s) That Are Applied f(x)=x2f(x)=x^{2}f(x)=x2

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