Determine a quadratic function that results when applying the given shifts to the graph of $f(x)=x^{2}$.
-Shift 5 units to the left.
A) $f(x)=x^{2}-5$
B) $f(x)=x^{2}+5$
C) $f(x)=(x+5)^{2}$
D) $f(x)=(x-5)^{2}$

Question

Quizplus · Accepted Answer

Shifting the graph of $f(x) = x^2$ 5 units to the left results in the function $f(x) = (x + 5)^2$, as this effectively replaces $x$ with $x + 5$ in the original equation.

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