How do you graph y=sqrt(x+4)?

1 Answer
Gió
Jun 20, 2015

You get hal parabola but along the x axis...have a look:

Explanation:

First of all you need to discover the allowed x values for your function, the domain .
The square root can accept all x as long as its argument doesn't get negative (you cannot find a real number as solution of a negative square root). You need all the x such that:
x+4>=0 or:
x>=-4
Your domain is then all the x bigger or equal to -4:

Next we choose "good" values for x to be used into our function (are good because they allow to evaluate the square root easily):

x=-4 then y=sqrt(0)=0
x=-3 then y=sqrt(1)=1
x=0 then y=sqrt(4)=2
x=5 then y=sqrt(9)=3
x=12 then #y=sqrt(16)=4

Plotting these points you get:
enter image source here

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