Question

complete the table and then graph the function.
y = -4x
x | y
-2 |
0 |
2 |

Explanation:

Step1: Substitute x = -2 into y = -4x

To find the value of \( y \) when \( x = -2 \), we substitute \( x = -2 \) into the equation \( y = -4x \). So we have \( y = -4\times(-2) \). Multiplying two negative numbers gives a positive result, and \( 4\times2 = 8 \), so \( y = 8 \).

Step2: Substitute x = 0 into y = -4x

When \( x = 0 \), substitute into \( y = -4x \). We get \( y = -4\times0 \). Any number multiplied by 0 is 0, so \( y = 0 \).

Step3: Substitute x = 2 into y = -4x

For \( x = 2 \), substitute into \( y = -4x \). Then \( y = -4\times2 \). Multiplying - 4 and 2 gives - 8, so \( y = -8 \).

Answer:

When \( x = -2 \), \( y = 8 \); when \( x = 0 \), \( y = 0 \); when \( x = 2 \), \( y = -8 \). So the completed table (for the \( y \)-values) is 8, 0, -8 respectively.