Question

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

Answer 1

See below

Explanation:

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

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

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

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