# How do you evaluate the function f(x)=6x^2+2x-12 for f(x+1)?

Jun 14, 2016

Function notation states that when given $f \left(a\right) = b {x}^{2} + c x$, the answer is given by evaluating $b {a}^{2} + c a$, since the $a$ replaces the $x$.

#### Explanation:

Thus, we have:

$f \left(x + 1\right) = 6 {\left(x + 1\right)}^{2} + 2 \left(x + 1\right) - 12$

$f \left(x + 1\right) = 6 \left({x}^{2} + 2 x + 1\right) + 2 x + 2 - 12$

$f \left(x + 1\right) = 6 {x}^{2} + 12 x + 6 + 2 x + 2 - 12$

$f \left(x + 1\right) = 6 {x}^{2} + 14 x - 4$

Hopefully this helps!