Unit 3 Quadratics Relations 1 Worksheet Page 20
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45MBF3C
Name:
BLM 3.3.2
Date:
Vertex Form of a Parabola
In this investigation you will graph different parabolas and compare them to what is
known as the “Basic Parabola”.
TECHNOLOGY OPTION
Y =
To help you graph and plot the parabolas, enter the equation in the
graph
screen on your TI – 83 graphing calculator, press
to see the graph and
graph
2nd
press
to see a table of values for the parabola
THE BASIC PARABOLA
2
Equation
y = x
Table of Values
x
y
-3
-2
-1
0
1
2
3
Fill in the following information
about the parabola:
What is the
What is the
What’s the “step pattern” of
Over 1
vertex?
Direction of
the parabola? (how do you
_________
Opening?
move from point to point,
Over 1
____________
starting from the vertex? –
and it doesn’t matter if you
Over 1
go to the right or left)
Since all parabolas have their “over” steps the same, we
usually refer to these three numbers as the Step Pattern of
the parabola
So, the Step Pattern of this parabola is
You will now graph parabolas with different equations than the Basic Parabola (y =
2
x
) and you will compare the new parabola to the graph of the Basic Parabola.
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