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

Jul 18, 2017
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: $f \left(x\right) = \sqrt{x}$.

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 :)