Question

use technology to find points and then graph the function $y = -2|x| + 5$, following the instructions below.

done plotting points

plot at least five points that fit on the axes below. click a point to delete it.

graph of coordinate plane with x-axis from -10 to 10 and y-axis from -10 to 10

Explanation:

Step1: Choose x values

Select x values: -2, -1, 0, 1, 2.

Step2: Calculate y for x=-2

Substitute x=-2 into \( y = -2|x| + 5 \):
\( y = -2|-2| + 5 = -2(2) + 5 = 1 \). Point: (-2, 1)

Step3: Calculate y for x=-1

Substitute x=-1:
\( y = -2|-1| + 5 = -2(1) + 5 = 3 \). Point: (-1, 3)

Step4: Calculate y for x=0

Substitute x=0:
\( y = -2|0| + 5 = 0 + 5 = 5 \). Point: (0, 5)

Step5: Calculate y for x=1

Substitute x=1:
\( y = -2|1| + 5 = -2(1) + 5 = 3 \). Point: (1, 3)

Step6: Calculate y for x=2

Substitute x=2:
\( y = -2|2| + 5 = -2(2) + 5 = 1 \). Point: (2, 1)

Answer:

Points to plot: (-2, 1), (-1, 3), (0, 5), (1, 3), (2, 1) (plot these on the graph as per instructions).