Question

question
use technology to find points and then graph the function ( y = 2|x - 4| ), following the instructions below.
done plotting points
plot at least five points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x-values, solve for y

Select $x=2, 3, 4, 5, 6$ (5 values centered at vertex $x=4$):

• For $x=2$: $y=2|2-4|=2|-2|=4$ → Point $(2,4)$
• For $x=3$: $y=2|3-4|=2|-1|=2$ → Point $(3,2)$
• For $x=4$: $y=2|4-4|=2|0|=0$ → Point $(4,0)$
• For $x=5$: $y=2|5-4|=2|1|=2$ → Point $(5,2)$
• For $x=6$: $y=2|6-4|=2|2|=4$ → Point $(6,4)$

Step2: List all valid points

Compile the calculated coordinate pairs.

Answer:

Plot the following points on the graph:
$(2, 4)$, $(3, 2)$, $(4, 0)$, $(5, 2)$, $(6, 4)$
Connect the points to form a V-shaped graph with vertex at $(4,0)$.