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

1 Answer
Jan 13, 2018

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.