Find the value for the function.
-Find $f ( x + h )$ when $f ( x ) = 2 x ^ { 2 } + 3 x - 3$
A) $2 x ^ { 2 } + 2 h ^ { 2 } + 7 x + 7 h - 3$
B) $2 x ^ { 2 } + 2 h ^ { 2 } + 3 x + 3 h - 3$
C) $2 x ^ { 2 } + 4 x h + 2 h ^ { 2 } + 3 x + 3 h - 3$
D) $2 x ^ { 2 } + 2 x h + 2 h ^ { 2 } + 3 x + 3 h - 3$

Question

Quizplus · Accepted Answer

To find $f(x + h)$, substitute $x + h$ for $x$ in the function $f(x) = 2x^2 + 3x - 3$. This gives $f(x + h) = 2(x + h)^2 + 3(x + h) - 3$, which simplifies to $2x^2 + 4xh + 2h^2 + 3x + 3h - 3$.

Find the Value for the Function f(x+h)f ( x + h )f(x+h)

Find the Value for the Function $f ( x + h )$