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

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Answer 1 · 2017-06-01T18:44:42

See below

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

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

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

If you look at the graph of the parent function:

$y = \sqrt{x}$ $y=sqrt(x)$

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=−√x+1y=-sqrt(x)+1?