Question

How do you graph `y=-1/4sqrtx`, compare it to the parent graph and what is the domain and range?

Answer 1

`y` is the standard graph of `f(x) = sqrtx` scaled by `-1/4`
Domain: `[0, +oo)` Range: `[0, -oo)`

Explanation:

`y =-1/4sqrtx`

`y` is the standard graph of `f(x) = sqrtx` scaled by `-1/4`

We can see the graphs of `y` (Lower) and `sqrtx` (Upper) below.

graph{(y+1/4sqrtx)(y-sqrtx)=0 [-3.84, 18.66, -5.535, 5.705]}

As can be deduced from the graph of `y` above:

The domain of `y` is `[0, +oo)`

`y` has no finite lower bound.

Hence, the range of `y` is `[0, -oo)`