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.
-$f(x)=(x+12)^{2}+15$
A) right 12 units, up 15 units
B) right 12 units, down 15 units
C) left 12 units, down 15 units
D) left 12 units, up 15 units

Question

Quizplus · Accepted Answer

The function $f(x)=(x+12)^{2}+15$ indicates a shift left by 12 units (due to $x+12$) and up by 15 units (due to the $+15$ outside the square).

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