IXL - Graph quadratic functions in vertex form (Algebra 1 practice)

Graph the function

(

)

Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10.

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Learn with an example

question

Graph the function

(

)

–

Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

key idea

A parabola is the graph of a quadratic polynomial.

The vertex form of a parabola that opens up or down is

(

–

)

The vertex is

(

)

the parabola opens up. If

the parabola opens down.

solution

To graph the parabola, first find the vertex.

(

)

–

(

–

)

The vertex is

(

)

which is the origin.

Now look for another point on the parabola with integer or half-integer coordinates. One such point is

(

–

)

(Plugging in

yields

–

So, plot this point.

Looking for more? Try these:

Lesson: Quadratic functions

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Y.4Transformations of quadratic functions

Y.3Complete a function table: quadratic functions

Y.2Characteristics of quadratic functions: equations

Lesson: Quadratic functions

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