# How do you graph f(x) =abs(4x+3)+1?

Aug 27, 2015

The graph will be in the shape of a V.

#### Explanation:

Substitute $y$ for $f \left(x\right)$.

$y = \left\mid 4 x + 3 \right\mid + 1$

Determine points for the graph substituting both positive and negative values for $x$.

$x = - 3 ,$ $y = 10$
$x = - 2 ,$ $y = 6$
$x = - 1 ,$ $y = 2$
$x = 0 ,$ $y = 4$
$x = 1 ,$ $y = 8$
$x = 2 ,$ $y = 12$
$x = 3 ,$ $y = 16$

Plot the points. Draw straight lines through the points on both halves of the graph. The graph will be in the shape of a V.

graph{y=abs(4x+3)+1 [-14.97, 13.89, -0.92, 13.51]}