Algebra 3 Solving Quadratic Equations Worksheet - Brunel University Page 3
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13The graph looks a bit like a cup, and the bottom of the cup is called the vertex.
6
4
The cup is upright (the vertex down)
a
8
2
f x
a > 0
when
e.g.
0
2
f (x) = 8x
+ 3x
4
2
4
1
0.5
0
0.5
1
x
4
6
The cup is upside down (the vertex up)
8
a
8
f x
a < 0
when
. e.g.
10
12
2
f (x) =
8x
+ 3x
4
14
1
0.5
0
0.5
1
x
a = 0
The case
renders the equation linear, not quadratic, so we wont con-
sider that case here.
2
ax
+ bx + c = 0
The
discriminant
of the quadratic equation
is defined by the formula
2
D = b
4ac
2. Roots of Quadratic Equation
There are three important cases of quadratics depending on where the graph
crosses the x-axis (which are
roots
or
zeros
of the equation).
3
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education