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.

Explanation:

Step1: Choose x - values

Let \(x=- 2,-1,0,1,2\).

Step2: Calculate y - values for \(x = - 2\)

Substitute \(x=-2\) into \(y = - 2|x|+5\). Since \(| - 2|=2\), then \(y=-2\times2 + 5=-4 + 5 = 1\).

Step3: Calculate y - values for \(x=-1\)

Substitute \(x = - 1\) into \(y=-2|x|+5\). Since \(| - 1|=1\), then \(y=-2\times1+5=-2 + 5 = 3\).

Step4: Calculate y - values for \(x = 0\)

Substitute \(x = 0\) into \(y=-2|x|+5\). Since \(|0| = 0\), then \(y=-2\times0+5=5\).

Step5: Calculate y - values for \(x = 1\)

Substitute \(x = 1\) into \(y=-2|x|+5\). Since \(|1|=1\), then \(y=-2\times1+5=-2 + 5 = 3\).

Step6: Calculate y - values for \(x = 2\)

Substitute \(x = 2\) into \(y=-2|x|+5\). Since \(|2|=2\), then \(y=-2\times2+5=-4 + 5 = 1\).

The points are \((-2,1),(-1,3),(0,5),(1,3),(2,1)\) which can be plotted on the graph.

Answer:

The points \((-2,1),(-1,3),(0,5),(1,3),(2,1)\) can be used to graph the function \(y=-2|x| + 5\).