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Algebra 2

Name: _______________________

Graphing Quadratic Functions Using Standard Form

Block: ______ Date: ____________

2

f x

( )

x

Parent Function For Quadratic Functions

The highest or lowest point is called the

________________________.

This vertex is located at: ( , )

________________________(quadratic functions) have a line

called the _________________________________. It divides the

parabola into mirror images. The axis of symmetry goes

through the vertex of the parabola.

b

To find the axis of symmetry: x

a 2

Key Information about a Quadratic Function:

A quadratic function has the standard form: ______________________where a

0

The graph is ____________________ shaped and is called a ______________________________.

If a > 0 then the graph opens ________________.

If a < 0 then the graph opens ________________.

If a

1 then the graph is ____________. If a

1 then the graph is ____________.

Examples: Write the equation in standard form. Determine if it opens up or down and if it is wider or

narrower than y = x

. Find a, b, c, and the axis of symmetry. Also determine if it will have a maximum

2

or a minimum.

1)

2)

3) y

2

2

2

y

3

x x

y

4 3

x

5

x

0 25

.

x

10

x

800

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