Determine a quadratic function that results when applying the given shifts to the graph of f(x) = x2.
-Shift 10 units to the right and 14 units down.
A) $f ( x ) = ( x + 10 ) ^ { 2 } - 14$
B) $f ( x ) = ( x + 14 ) ^ { 2 } - 10$
C) $f ( x ) = ( x - 10 ) ^ { 2 } - 14$
D) $f ( x ) = ( x - 14 ) ^ { 2 } - 10$

Question

Quizplus · Accepted Answer

To shift the graph of $f(x) = x^2$ 10 units to the right and 14 units down, we need to subtract 10 inside the function to shift it to the left and subtract 14 outside the function to shift it down. Therefore, the quadratic function is $f(x) = (x-10)^2-14$.

Determine a Quadratic Function That Results When Applying the Given f(x)=(x+10)2−14f ( x ) = ( x + 10 ) ^ { 2 } - 14f(x)=(x+10)2−14

Determine a Quadratic Function That Results When Applying the Given $f ( x ) = ( x + 10 ) ^ { 2 } - 14$