Graphical And Three Symbolic Forms Of A Quadratic Function Worksheet Page 4
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Converting from vertex form into general form may not be much of a challenge for you. Let’s consider changing
general form back to vertex form? This might be a bit more difficult for you.
In order to convert general form into vertex form, we need a technique called completing the square. An example is
given below.
2
f x
( )
x
6
x
5
2
(
x
6
x
??)
5
??
F
I
F
I
H G
K J
2
H G
K J
2
6
6
2
(
x
6
x
)
5
2
2
2
(
x
6
x
9
)
5 9
2
(
x
3
)
4
Now, you try…
Convert the general form of the function into vertex form. Check your equation using your calculator.
2
2
2
g x
( )
x
4
x
10
h x
( )
x
8
x
15
k x
( )
x
5
x
6
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