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5.4 Completing the Square
Algebra 2
24
5.4 COMPLETING THE SQUARE
Learning Targets:
1.
Identify
2
y
ax
bx
c
as the standard form of a quadratic equation.
2.
Be able to complete the square
3.
Find the vertex and graph equations in standard form.
when
a
= 1 and when
a
≠ 1.
4.
Use projectile motion equation
2
00
16
h
t
vt h
to find the height of a projectile.
Standard Form
:
2
y
ax
bx
c
Equations that in the form
.
Completing the Square
Example 1
:
What must be added to the expression
2
8
xx
in order to complete the square.
Completing the square works when the coefficient of the
x
2
term is 1.
If
a
doesn’t equal 1, then divide everything by (or
factor out an)
a
.
To complete the square …
1.
Take ½ the
b
term.
2.
Square that answer
3.
Add this value to the expression to complete the square.
(In an equation … add it to the other side too)
Example 2
:
What must be added to the expression
2
35
in order to complete the square.
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This note was uploaded on 04/11/2011 for the course MATH 1100 taught by Professor Staff during the Spring '08 term at North Texas.
 Spring '08
 staff
 Completing The Square, Equations

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