Question

1. given the function below, fill in the table of values and use the table values to graph.$y = 4x - 4$| $x$ | $4x$ | $y = 4x - 4$ ||-----|------|--------------|| $-3$ | | || $-2$ | | || $-1$ | | || $0$ | | || $1$ | | || $2$ | | || $3$ | | |

Explanation:

Step1: Calculate $4x$ for each $x$

For $x=-3$: $4(-3) = -12$
For $x=-2$: $4(-2) = -8$
For $x=-1$: $4(-1) = -4$
For $x=0$: $4(0) = 0$
For $x=1$: $4(1) = 4$
For $x=2$: $4(2) = 8$
For $x=3$: $4(3) = 12$

Step2: Calculate $y=4x-4$ for each $x$

For $x=-3$: $-12 - 4 = -16$
For $x=-2$: $-8 - 4 = -12$
For $x=-1$: $-4 - 4 = -8$
For $x=0$: $0 - 4 = -4$
For $x=1$: $4 - 4 = 0$
For $x=2$: $8 - 4 = 4$
For $x=3$: $12 - 4 = 8$

Step3: Plot points on the graph

The points to plot are $(-3, -16)$, $(-2, -12)$, $(-1, -8)$, $(0, -4)$, $(1, 0)$, $(2, 4)$, $(3, 8)$; connect them to form a straight line.

Answer:

Completed Table:

$x$	$4x$	$y=4x-4$
$-2$	$-8$	$-12$
$-1$	$-4$	$-8$
$0$	$0$	$-4$
$1$	$4$	$0$
$2$	$8$	$4$
$3$	$12$	$8$

Graph Description:

A straight line passing through the points listed above, with a slope of $4$ and y-intercept at $(0, -4)$.