1. Pgs. 259-265

2. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.* Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Solve quadratic equations in one variable. – b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

3.  Perfect Square Trinomial: the product you obtain when you square a binomial. ◦ The first term and the third term of the trinomial are always positive, as they represent the squares of two terms of the binomial. ◦ The middle term of the trinomial is two times the product of the terms of the binomial What ??

4.  Difference of Two squares: an expression of the form a 2 – b 2

5. a 2 + 2ab + b 2 = (a + b) 2 a 2 - 2ab + b 2 = (a – b) 2

6. Factor 9x 2 – 42x + 49 Step 1: Take the square root of the first term and the third term. Step 2: Put the terms in the parenthesis squared and separate the terms with a plus/minus sign (depending on your second sign).

7. Factor 4x 2 + 12x + 9

8. 1) Factor 64x 2 – 16x + 1 2) Factor 25x 2 + 90x + 81

9. a 2 – b 2 = (a + b)(a – b)

10. Factor x 2 – 4 Step 1: Take the square root of the first term and the third term. Step 2: Put the terms in two sets of parenthesis, one with a plus sign and one with a minus sign.

11. Factor 9x 2 - 1

12. 1) Factor x 2 – 64 2) Factor 4a 2 - 49