Question

question use technology to find points and then graph the function (sqrt{x - 5}-5), following the instructions below. done plotting points plot at least four points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Choose x - values

Choose \(x = 5\), \(x=6\), \(x = 10\), \(x = 14\)

Step2: Calculate y - values for \(x = 5\)

Substitute \(x = 5\) into \(y=\sqrt{x - 5}-5\), we get \(y=\sqrt{5 - 5}-5=- 5\)

Step3: Calculate y - values for \(x = 6\)

Substitute \(x = 6\) into \(y=\sqrt{x - 5}-5\), we get \(y=\sqrt{6 - 5}-5=1 - 5=-4\)

Step4: Calculate y - values for \(x = 10\)

Substitute \(x = 10\) into \(y=\sqrt{x - 5}-5\), we get \(y=\sqrt{10 - 5}-5=\sqrt{5}-5\approx2.24 - 5=-2.76\)

Step5: Calculate y - values for \(x = 14\)

Substitute \(x = 14\) into \(y=\sqrt{x - 5}-5\), we get \(y=\sqrt{14 - 5}-5=\sqrt{9}-5=3 - 5=-2\)

Answer:

The points are \((5,-5)\), \((6,-4)\), \((10,\sqrt{5}-5)\), \((14,-2)\)