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

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Answer 1 · 2017-06-01T18:44:42

See below

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

$(0,1)$
$(1,0)$
$(4,-1)$
$(9,-2)$

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.

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