IXL - Graph square root functions (Algebra 2 practice)

x 0, y 0, plot endpoint

Graph the function.

Click to plot points on the graph. Plot the endpoint first.

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Learn with an example

question

Graph the function.

–

Click to plot points on the graph. Plot the endpoint first.

key idea

The graph of a square root function has one endpoint and is shaped like half of a parabola. This is the graph of

solution

To graph

–

start by finding the endpoint.

Since the square root of a negative number is not a real number, the function is defined only when the value under the square root is not negative.

The function is only defined for

≥

So, the graph has an endpoint at

Find the

-value

of the endpoint by plugging in

–

The graph has an endpoint at

(

–

)

Next, find another point on the graph. Evaluate the function at an

-value

that corresponds to an integer

-value.

That will be where

is a perfect square. A good choice is

–

Another point on the graph is

(

–

)

To graph the function, draw half of a parabola starting at

(

–

)

and passing through

(

–

)

(

)

(

)

You can also graph

–

by applying a transformation to

You can write the function in this form to see which transformation to apply:

–

So, to graph the function, apply this transformation to the graph of

translation 5 units down

–

Looking for more? Try this:

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

S.1Domain and range of radical functions

FF.1Evaluate square root functions

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