Pgs. 259-265
•
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.

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
??

Difference of Two squares: an expression of
the form a2 – b2
a2 + 2ab + b2 = (a + b)2
a2 - 2ab + b2 = (a – b)2
Factor 9x2 – 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).
Factor 4x2 + 12x + 9
1)
Factor 64x2 – 16x + 1
2)
Factor 25x2 + 90x + 81
a2 – b2 = (a + b)(a – b)
Factor x2 – 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.
Factor 9x2 - 1
1)
Factor x2 – 64
2)
Factor 4a2 - 49