Evaluate the function at the given value of the independent variable and simplify.
-$f ( x ) = x ^ { 2 } - 3 ; \quad f ( x - 4 )$
A) $x ^ { 2 } - 8 x + 13$
B) $x ^ { 2 } - 7$
C) $x ^ { 2 } + 16$
D) $x ^ { 2 } - 8 x + 16$

Question

Quizplus · Accepted Answer

To find $f(x-4)$, substitute $x-4$ for $x$ in the function $f(x) = x^2 - 3$, resulting in $(x-4)^2 - 3$. Expanding $(x-4)^2$ gives $x^2 - 8x + 16$, and subtracting 3 gives $x^2 - 8x + 13$.

Evaluate the Function at the Given Value of the Independent f(x)=x2−3;f(x−4)f ( x ) = x ^ { 2 } - 3 ; \quad f ( x - 4 )f(x)=x2−3;f(x−4)

Evaluate the Function at the Given Value of the Independent $f ( x ) = x ^ { 2 } - 3 ; \quad f ( x - 4 )$