UNIT 2.2
Quadratic Functions
EXAMPLE 1

http://youtu.be/xgODzAwxrx8,
HOW WOULD YOU DESCRIBE THE MOTION?
What quantities are being observed and how they are changing over
time?
What is the change of elevation of the ball over time?
HOW WOULD YOU DESCRIBE THE MOTION?
What quantities are being observed and how they are changing over
time?
Elevation vs. time, they are decreasing
What is the change of elevation of the ball over time?
Speeds up at the bottom of the ramp
STORY GRAPHS
Graph the Story:
Questions:

What would the labels and units of the axes
be?

What would you title this graph?

What was the height of the ball at 0 seconds?



What is the meaning for a point plotted on the
graph?
How long did it take for the ball to roll down the
ramp?
What happened to the ball at the end of the
ramp?
STORY GRAPHS
Graph the Story:
Questions:

What would the labels and units of the axes
be?
Elevation (inches), Time (seconds)

What would you title this graph?
Elevation vs. time of a ball rolling down an
incline

What was the height of the ball at 0 seconds?
12 inches

What is the meaning for a point plotted on the
graph?
Elevation of the ball at a certain time

How long did it take for the ball to roll down the
ramp?
About 2 seconds

What happened to the ball at the end of the
ramp?
It rolled across the floor
GRAPH OF
INCLINE
BALL ROWLING DOWN AN
Is the change in elevation faster at different times?
 Should the line be curved or straight? Why?

GRAPH OF
INCLINE

BALL ROWLING DOWN AN
Is the change in elevation faster at different times?
Yes, faster at the bottom of the ramp.

Should the line be curved or straight? Why?
Curved because if it was straight it would mean the rate of change
would be constant as it rolled down the board, which it is not.
EXAMPLE 2: WORLD RECORD SHALLOW
DIVE
http://www.youtube.com/watch?v=ZCFBC8aXz-g

What would the labels and units of the axes be?

What would you title this graph?

How high is the diver at the top of the ladder?

Does his elevation ever increase?

How long does it take for the diver to reach the pool?
EXAMPLE 2: WORLD RECORD SHALLOW
DIVE
http://www.youtube.com/watch?v=ZCFBC8aXz-g

What would the labels and units of the axes be?
y axis: Elevation (feet), x axis: Time (seconds)

What would you title this graph?
Elevation vs. Time World Record Shallow Dive

How high is the diver at the top of the ladder?
Thirty-five feet

Does his elevation ever increase?
Yes, at the very top of the dive, he jumps up.

How long does it take for the diver to reach the pool?
Approximately 1.5 seconds
EXAMPLE 2: WORLD RECORD SHALLOW
DIVE

How does your graph compare?
EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE
The table below gives the area of a square with
sides of whole number lengths.
 Plot the following points on a graph.
 What goes on the Y axis, X axis? Why?

EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE

The coordinates are (0,0) (1,1) (2,4) (3,9) (4,16)
(5,?)
EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE

The coordinates are (0,0) (1,1) (2,4) (3,9) (4,16)
(5,25)
EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE

What would reflecting the graph across the y axis
look like?
EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE

What would reflecting the graph across the y axis
look like? (0,0) (-1,-1) (-2,4,) (-3,9) (-4,16) (-5,?)
“Quadratic Equation”
EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE

On the graph, what do the points between the
plotted points from the table represent?
EXAMPLE 3: GRAPHING A QUADRATIC
EQUATION FROM A TABLE

On the graph, what do the points between the
plotted points from the table represent? They represent
the areas of square with non-whole number side lengths.
EXIT TICKET
If you jumped in the air three times, what might
the elevation versus time graph of that story look
like?
 Label the axes appropriately.

EXIT TICKET


If you jumped in the air three times, what might the elevation versus time graph of
that story look like?
Label the axes appropriately.