Question

question
given the function below, fill in the table of values and use the table values to graph.
$y = -4x$

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

Explanation:

Step1: Substitute \( x = -3 \) into \( y = -4x \)

We know the function is \( y = -4x \). To find the value of \( y \) when \( x = -3 \), we substitute \( x = -3 \) into the function. So we calculate \( y = -4\times(-3) \).

Step2: Calculate the result

Multiplying two negative numbers gives a positive number. So \( -4\times(-3)=12 \).

For the other values of \( x \):

• When \( x = -2 \): \( y = -4\times(-2)=8 \)
• When \( x = -1 \): \( y = -4\times(-1)=4 \)
• When \( x = 0 \): \( y = -4\times0 = 0 \)
• When \( x = 1 \): \( y = -4\times1=-4 \)
• When \( x = 2 \): \( y = -4\times2=-8 \)
• When \( x = 3 \): \( y = -4\times3=-12 \)

Answer:

For \( x = -3 \), \( y = 12 \); for \( x = -2 \), \( y = 8 \); for \( x = -1 \), \( y = 4 \); for \( x = 0 \), \( y = 0 \); for \( x = 1 \), \( y = -4 \); for \( x = 2 \), \( y = -8 \); for \( x = 3 \), \( y = -12 \)

(If we only consider the first blank for \( x=-3 \), the answer is \( 12 \))