Math 103 Vertex Form Of A Quadratic Function Worksheet - Oregon State University Page 2
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1
2f (x) = ax
+ bx + c
2
4. We can convert standard form
to vertex form. This process is often called completing the
square. Note: In this course we will focus on completing the square when a = 1. In MTH 111, you will work on
completing the square when the a-value is any number.
2
a.
Convert
to vertex form.
g t
( )
t
8
t
3
The process of converting a
quadratic equation from
standard form to vertex
form is called completing
2
What is the vertex of
? WRITE AS A COORDINATE POINT.
g t
( )
t
8
t
3
the square.
2
b. Convert
to vertex form.
f x
( )
x
6
x
11
c. CHECK YOUR WORK! Expand your result from step b.
2
d. Identify the vertex of
f x
( )
x
6
x
11
.
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