# How do you graph y=-sqrt(x)+1?

Jun 1, 2017

See below

#### Explanation:

Let's plug in a few points for $x$ and compute $y$ and plot them.

$\left(0 , 1\right)$
$\left(1 , 0\right)$
$\left(4 , - 1\right)$
$\left(9 , - 2\right)$

graph{-sqrt(x) + 1 [-10, 10, -5, 5]}

If you look at the graph of the parent function:

$y = \sqrt{x}$

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

You'll notice that our graph is simply reflected about the x-axis because of the negative sign and shifted up by 1 unit because of the positive 1.