How do you graph y=-2sqrtx-3y=−2√x−3 and how is it different from the parent function?

1 Answer
Jim H
Jun 19, 2015

See below

Explanation:

The parent function is y=sqrtxy=√x
graph{sqrtx [-4.07, 11.74, -4.17, 3.73]}

Working outwards from that:
Multiplying by 2 stretches the graph vertically
y=2sqrtxy=2√x
graph{2sqrtx [-4.02, 13.766, -2.07, 6.814]}

Then the -− reflects the graph across the xx-axis. (It makes the yy's negative)
y=-2sqrtxy=−2√x
graph{-2sqrtx [-2.88, 17.13, -8.22, 1.775]}

Finally, subtracting 33 translates everything down 33 (subtracts 33 from the most recent yy-values.
y=-2sqrtx-3y=−2√x−3
graph{y=-2sqrtx-3 [-2.07, 20.44, -11.14, 0.105]}

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