Question

How do you graph `y=sqrt(x-1.5)`, compare it to the parent graph and what is the domain and range?

Answer 1

See explanation.

Explanation:

the parent function for `g(x)=sqrt(x-1.5)` is `f(x)=sqrt(x)`.

The domain and range of the parent function are `x>=0` and `y>=0`, respectively.

`g(x)` is a shift of the parent function 1.5 units to the right. This does not change the range of the function but changes the domain to `x>=1.5`. The shape of the curve is exactly the same.