1. Given find the following a) Vertex b) Axis of Symmetry c) Y-intercept
Warm Up
1) Convert from standard form to vertex form.
y = x2 + 2x + 5
Given find the following
a) Vertex
b) Axis of Symmetry
c) Y-intercept
d) X-intercept

2. HW Check – 5.3 1) y = (x – 0)2 - 5 or y = x2 – 5 3) y = (x – 2)27)
19) y = (x + 2)2 – ) y = 2(x + 2) 2 – 5
y = (x + 3.5) 2 – ) Vertex (2, -4) y-int (0, 8)
33) Vertex (1, -1) y-int (0, 1)

3. Word Problems
A ball is thrown in the air. The path of the ball is represented by the equation h = -t2 + 8t.
What is the maximum height the ball reaches?
How long does it take for the ball to hit the ground?

4. Word Problems
A lighting fixture manufacturer has daily production costs of C = .25n2 – 10n + 800, where C is the total daily cost in dollars and n is the number of light fixture produced. How many fixtures should be produced to yield minimum cost.

5. Section 5.4 Factoring

6. GCF
One way to factor an expression is to factor out a GCF or a GREATEST COMMON FACTOR. EX: 4x2 + 20x – 12 EX: 9n2 – 24n

7. Factors
Factors are numbers or expressions that you multiply to get another number or expression. Ex. 3 and 4 are factors of 12 because 3x4 = 12

8. What are the following expressions factors of?
4 and 5 ?
5 and (x + 10) ?
3. (x + 3) and (x - 4) ?

9. Try Some!
Factor:
9x2 +3x – 18
7p2 + 21
4w2 + 2w

10. Factors of Quadratic Expressions
When you multiply 2 binomials:
(x + a)(x + b) = x2 + (a +b)x + (ab)
This only works when the coefficient for x2 is 1.

11. Finding Factors of Quadratic Expressions
When a = 1: x2 + bx + c Step 1. Determine the signs of the factors Step 2. Find 2 numbers that’s product is c, and who’s sum is b.

12. Sign + + - + + - - - Factors (x + _) (x - _) (x - _) ADD SUBTRACT
Sign table!
Sign
+ +
- +
+ -
- -
Factors
(x + _)
(x - _)
(x - _)
ADD
SUBTRACT

13. Examples
Factor: 1. X2 + 5x x2 – 10x x2 – 6x – x2 + 4x – 45

14. Examples
Factor: 1. X2 + 6x x2 – 13x x2 – 5x – x2 – 16

15. Slide Factor Divide Reduce More Factoring! When a does NOT equal 1.
Steps
Slide
Factor
Divide
Reduce

16. Example!
Factor: 1. 3x2 – 16x + 5

17. Example!
Factor: 2. 2x2 + 11x + 12

18. Example!
Factor: 3. 2x2 + 7x – 9

19. Try Some!
Factor 1. 5t2 + 28t m2 – 11m + 15

20. Teach Me How to Factor - Video

21. Homework – 5.4 & Unit 5A Test – Wed!!