Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 18
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Quadratic Equations in One Unknown
Name :
1E
Date :
Mark :
1.5
Solving Quadratic Equations Using the Graphical Method
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Key Concepts and Formulae
1. Plot the graph of y = ax
+ bx + c.
2
y
The x-intercepts of the quadratic graph
a r e t h e r o o t s o f t h e e q u a t i o n
2
+ bx + c = 0. However, the
2
y = ax
+ bx + c
ax
values of x-intercepts read from the
( m , 0)
( n , 0)
graph are approximations only.
x
0
x − intercept
x − intercept
2.
∆ = b
− 4ac
∆ > 0
∆ = 0
∆ < 0
2
y
y
y
No. of x-intercepts
x
0
of the graph of
x
x
0
0
y = ax
+ bx + c
2
Two x-intercepts
Only one
No x-intercept
x-intercept
18
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