Determine a quadratic function that results when applying the given shifts to the graph of $f(x)=x^{2}$.
-Rotate about the $x$ - axis, shift 5 units to the right and 16 units up.
A) $f(x)=-(x-5)^{2}+16$
B) $f(x)=(-x-5)^{2}+16$
C) $f(x)=-(x+5)^{2}+16$
D) $f(x)=(-x+5)^{2}+16$

Question

Quizplus · Accepted Answer

Rotating about the x-axis inverts the function, making it negative. Shifting 5 units to the right and 16 units up results in the function $f(x) = -(x-5)^2 + 16$.

Determine a Quadratic Function That Results When Applying the Given f(x)=x2f(x)=x^{2}f(x)=x2

Determine a Quadratic Function That Results When Applying the Given $f(x)=x^{2}$