Question

How do you graph `y=-sqrt(x-3)`?

Answer 1

1. Horizontal translation to the right `3` units.
2. Reflection on the `x` axis.

Explanation:

This is a function where the parent function is the radical: `f(x)=sqrtx`.

The transformations being done:

1. Horizontal translation to the right `3` units.
2. Reflection on the `x` axis.

Thus, the only thing we have to do is to draw the base function `3` units to the right, and then invert it vertically.

Here is a graph to check our work.

graph{-sqrt(x-3) [-10, 10, -5, 5]}

Hope this helps :)