Question

How do you graph `y=sqrt(2x)` and how does it compare to the parent function?

Answer 1

`y` is the standard graph of `sqrtx` scaled by `sqrt2`

Explanation:

`y = sqrt(2x)`

Remember: `sqrt(ab) = sqrta xx sqrtb`

`:.y = sqrt2 xx sqrtx`

Hence, `y` is the standard graph of `sqrtx` scaled by `sqrt2`

This can be seen below by the graphs of `y` (upper) and `sqrtx`.

graph{(y-sqrt(2x))(y-sqrtx)=0 [-2.38, 4.548, -0.54, 2.923]}