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