Objectives:
Be able to identify quadratic functions and graphs
Be able to model data with a quadratic functions in the
calculator
•
•

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?
x
y
Calculator Steps:
(Make sure your first plot is ON under STAT PLOT)
1.
2.
3.
4.
5.
6.
7.
STAT – Edit(#1) – enter data into L1(x) and L2(y)
STAT – CALC – QuadReg(#5) – Enter
Record your equation (don’t clear it)
Go to y =
VARS – Statistics(#5) – EQ – Enter
To See Graph: ZOOM - #9 or ZOOM - #0
Go to 2nd Table to find amount looking for (for
predictions)

Jeremy Clarkson - on Stopping Distances! YouTube

The table shows the relation between the
speed of a Porsche 911 and the distance
needed for the car to stop at that speed.
Speed in mph (x)
Stopping Distance in Ft (y)
55
60
75
124
123
219
What would the stopping distance be if the
Porsche is traveling 70mph?

The table shows the height of a column of
water as it drains from it’s container. Estimate
the water level at 35 seconds.
 Page
241
 #1, 5, 8, 10-13, 18, 21, 22,
32, 34
(Ch 3 Review due Friday)