Question

use technology to find points and then graph the function y = -2√x. plot at least four points with integer coordinates that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x - values

Choose \(x = 0,1,4,9\) as they are perfect - squares and will give integer \(y\) - values for the function \(y=-2\sqrt{x}\).

Step2: Calculate y - values for \(x = 0\)

When \(x = 0\), \(y=-2\sqrt{0}=0\). The point is \((0,0)\).

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

When \(x = 1\), \(y=-2\sqrt{1}=-2\). The point is \((1, - 2)\).

Step4: Calculate y - values for \(x = 4\)

When \(x = 4\), \(y=-2\sqrt{4}=-4\). The point is \((4,-4)\).

Step5: Calculate y - values for \(x = 9\)

When \(x = 9\), \(y=-2\sqrt{9}=-6\). The point is \((9,-6)\).

Answer:

The points to plot are \((0,0)\), \((1, - 2)\), \((4,-4)\), \((9,-6)\)