Warmup ActivityFactor the following.
1. 3x2 - 6x 2. x2 +7x + 12
3. x2 - 25
62 Solving Quadratic Equationsby Graphing• interpret solutions given graphs of quadratics• find solutions to quadratics by graphing
previous assignment:Page 291 1426 evens,
(graph 16, 20, 24 ONLY)32 42 evens
quadratic equation: when a quadratic function is set equal to some value it becomes a quadratic equation.
y = ax2 + bx + c becomes 0 = ax2 + bx + c
• if y = 0, this represents the xintercepts of the function.• xintercepts are known as the zeros of the function/graph.• the solutions to a function are referred to as roots.• one method in finding the solutions/roots is by finding its zeros.
solutions
xintercepts
roots zerosconfused???
To Solve by Graphing• graph the related function f(x) = ax2 + bx + c.• identify the zeros of the graph, if any.• check your solutions with original equation ax2 + bx + c = 0 .
Examples: Solve each quadratic equation by graphing.
1. x2 3x 4 = 0 X Y
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
Examples: Solve each quadratic equation by graphing.
2. x2 4x = 4 X Y
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
Examples: Solve each quadratic equation by graphing.
3. x2 4x + 5 = 0 X Y
0 1 2 3
25
20
15
10
5
5
10
x
y
6 5 4 3 2 1 0 1 2 3 4
80
60
40
20
20
40
60
80
x
ydetermine the solutions.
Page 297, 2981419 all
2036 by 4's
Attachments
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