Graphing Quadratics - Standard Form

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CCGPS Geometry
Unit 4 – Graphing Quadratics
4.4 – Notes
Name: __________________________________________ Date: _____________________________
Graphing Quadratics – Standard Form
 
2
f x
ax
bx c
Most common way to see a quadratic written.
b
x
Axis of Symmetry:
2
a
b
b
Vertex:
,
f
2
a
2
a
Plug your axis of symmetry in to the function to find the y-value
Steps to Graphing in STANDARD form:
1. Identify a, b, and c.
b
2. Find the axis of symmetry.
Graph this lightly as a dashed vertical line.
x
2
a
3. Table, Edit Function, start = A.O.S. This is your vertex. Plot it.
4. Scroll up and down to get other ordered pairs.
5. Connect in a u-shape with arrows at each end.
Graph.
Characteristics
 
A.O.S.
2
1.
f x
 
x
2
x
1
Vertex:
Domain:
Range:
x-intercept(s):
y-intercept:
Interval of Increase:
Interval of Decrease:
Rate of change from
0  x  2:
Rate of change from
1  x  3:

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