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.
-$f(x)=(x-2)^{2}+13$
A) right 13 units, down 2 units
B) right 2 units, up 13 units
C) rotate about $x$ - axis, right 2 units, up 13 units
D) left 2 units, up 13 units

Question

Quizplus · Accepted Answer

The function $f(x)=(x-2)^{2}+13$ represents a horizontal shift of 2 units to the right and a vertical shift of 13 units up from the parent function $f(x)=x^{2}$.

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 $f(x)=x^{2}$