Question

use technology to find points and then graph the function y = -2√x - 2 following the instructions below. done plotting points 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

We know that for the function $y=-2\sqrt{x}-2$, $x\geq0$ since we can't take the square - root of a negative number in the real number system. Let's choose $x = 0,1,4,9$.

Step2: Calculate y - values for $x = 0$

Substitute $x = 0$ into $y=-2\sqrt{x}-2$. Then $y=-2\sqrt{0}-2=-2$. So the point is $(0, - 2)$.

Step3: Calculate y - values for $x = 1$

Substitute $x = 1$ into $y=-2\sqrt{x}-2$. Then $y=-2\sqrt{1}-2=-2 - 2=-4$. So the point is $(1,-4)$.

Step4: Calculate y - values for $x = 4$

Substitute $x = 4$ into $y=-2\sqrt{x}-2$. Then $y=-2\sqrt{4}-2=-2\times2 - 2=-4 - 2=-6$. So the point is $(4,-6)$.

Step5: Calculate y - values for $x = 9$

Substitute $x = 9$ into $y=-2\sqrt{x}-2$. Then $y=-2\sqrt{9}-2=-2\times3 - 2=-6 - 2=-8$. So the point is $(9,-8)$.

Answer:

The points are $(0, - 2),(1,-4),(4,-6),(9,-8)$