Quadratic Inequalities.notebook

Quadratic Inequalities.notebook
March 29, 2011
Chapter 5
Quadratic Inequalities
Objective: To graph quadratic inequalities with both one and
two variables.
Graph: y = x2 - 3x + 2
What would change if you were
asked to graph y < x2 - 3x + 2?
GRAPH: Remember to shade since........
y ≥ x2 - 7x + 10
y > -3x2 - 6x - 7
1
Quadratic Inequalities.notebook
March 29, 2011
GRAPH:
y ≤ -2x2 - 4x + 6
Solve: x2 - 16x + 60 = -3
y = x2 - 8x + 12
How would you solve x2 - 16x + 60 < -3?
Where is x2 - 16x + 63 < 0?
2
Quadratic Inequalities.notebook
March 29, 2011
SOLVE:
x2 + 8x + 20 ≥ 5
2x2 - 5x + 1 ≤ 1
SOLVE:
(x - 2)(x + 11) > 2
3(x - 1)2 + 1 > 0
3
Quadratic Inequalities.notebook
March 29, 2011
SOLVE:
-x2 + 3x > -2
x(x-4) ≤ 0
Ho
m
ew
or
k
Chapter 5
Quadratic Inequalities
370
Problems 12-23
Bonus: 52--please place on a half sheet of paper.
4