Algebra 2 Notes
March 2, 2009
1.
2.
Simplify the following expressions:
Evaluate the following expression for
x = -3, -1, 0, 1, and 3:

Standard form of a quadratic function:
Quadratic
Term

Linear
Term
Constant
Term
If a = 0 there is no quadratic term, thus the
function is linear, not quadratic.

Determine whether each function is linear or
quadratic. Identify the quadratic, linear, and
constant terms.

Parabola: The graph of a quadratic function
6
4
2
-5
5
-2

Axis of symmetry (or line of symmetry): the
line that divides a parabola into two parts
that are mirror images
◦ Equation:
6
4
2
-5
5
-2

Vertex: the point at which the parabola
intersects the line of symmetry.
Maximum
6
6
4
4
2
2
-5
5
-2
-5
Minimum
5
-2
6
4
2
5
-2
6
4
2
5
-2

Given three points, can you find a quadratic
equation?
 Of the 5 variables in the quadratic
equation, which ones are we given?

Plug in x and y, then solve for a, b, and c!
Calculator Steps:
(Make sure your first plot is ON under STAT PLOT)
1.
2.
3.
4.
5.
6.
STAT - #1 – enter data into L1 and L2
STAT – CALC - #5 – Enter
Go to y =
VARS - #5 – EQ – Enter
To See Graph: ZOOM - #9
Go to 2nd Table to find amount looking for

1.
2.
The table shows the relation between the
speed of a car and the distance needed for
the car to stop at that speed.
Speed in mph (x)
35
45
50
60
Stopping Distance in Ft (y)
96
140
165
221
Find a quadratic model for the data
What is the stopping distance for a car that
is traveling 65mph?
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241 #1, 5, 8, 10, 11,
13, 18, 20-22