Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2
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30Unit 2 – Quadratics
Math 2200
1
Chapter 3: Quadratic Functions
Section 3.1: Investigating Quadratic Functions in Vertex Form
Quadratic functions: the shape a ball makes when thrown.
The path a ball travels gives a special “U” shape called a “parabola.” This parabolic shape
occurs in many natural phenomena such as kicking a football/soccer ball, hitting a golf ball,
flight path of birds, parabolic satellites, etc.
The parabolic shape is the result of sketching Quadratic Functions.
What are Quadratic Functions?
y
2
x
The simplest quadratic function is
.
(The word quadratic comes from the word quadratum, a Latin word meaning square.)
Quadratic Functions are the result of multiplying two linear functions:
2
y
3 (
x
) 2
y
(
x
1
)(
x
) 4
For example,
and
y
3 (
x
2
)(
3
x
) 2
2
y
x
3
x
4
2
y
9
x
12
x
4
NOTE: The degree (the highest exponent of the variable)
of quadratic functions is ______.
Which of the following functions are quadratic?
( 5
i)
y
x
) 3
ii)
y
5
x
(
x
) 3
x
2
y
( 5
) 3
iii)
iv)
y
5 (
x
1
)(
x
) 3
2
2
y
5
(
x
) 3
y
( 5
x
) 3
2
v)
vi)
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