Question

1. given the function below, fill in the table of values and use the table values to graph.

$y = -2x + 1$

$x$

$-2x$

$y = -2x + 1$

:---:

:---:

:---:

$-3$

$-2$

$-1$

$0$

$1$

$2$

$3$

Explanation:

Step1: Calculate $-2x$ for each $x$

For $x=-3$: $-2(-3)=6$
For $x=-2$: $-2(-2)=4$
For $x=-1$: $-2(-1)=2$
For $x=0$: $-2(0)=0$
For $x=1$: $-2(1)=-2$
For $x=2$: $-2(2)=-4$
For $x=3$: $-2(3)=-6$

Step2: Calculate $y=-2x+1$

For $x=-3$: $6+1=7$
For $x=-2$: $4+1=5$
For $x=-1$: $2+1=3$
For $x=0$: $0+1=1$
For $x=1$: $-2+1=-1$
For $x=2$: $-4+1=-3$
For $x=3$: $-6+1=-5$

Answer:

Completed Table:

$x$	$-2x$	$y=-2x+1$
$-2$	$4$	$5$
$-1$	$2$	$3$
$0$	$0$	$1$
$1$	$-2$	$-1$
$2$	$-4$	$-3$
$3$	$-6$	$-5$

Graph Instructions:

Plot the points $(-3,7)$, $(-2,5)$, $(-1,3)$, $(0,1)$, $(1,-1)$, $(2,-3)$, $(3,-5)$ on the coordinate plane, then draw a straight line connecting all these points.