Quadratic Formula and Graphs of Quadratic Functions

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Tip: Use tests and quizzes as an opportunity to demonstrate what you learned in class.  Failing that, use your sense of humour.

Announcements

Next unit exam (Algebraic Functions and Systems) on Mon Feb 12

Seminars

Seminar 2 (Jan 17-18) - Fire Control (Excel) PRE-LAB REQUIRED

Today - Quadratic Formula and Graphs of Quadratic Functions
Notes from Moodle
Read Algebra and Trig 2.5, 5.1
Standard form y=ax²+bx+c
Factored form y=a(x-x1)(x-x2)
Vertex form y=a(x-h)²+k

For More Information
Solving quadratic equations by factoring
http://patrickjmt.com/solving-quadratic-equations-by-factoring-basic-examples/
http://patrickjmt.com/solving-quadratic-equations-by-factoring-another-example/
Using the quadratic formula to solve quadratic equations
http://patrickjmt.com/using-the-quadratic-formula/
http://patrickjmt.com/deriving-the-quadratic-formula/
http://patrickjmt.com/solving-quadratic-equations-using-the-quadratic-formula-ex-1/
http://patrickjmt.com/solving-quadratic-equations-using-the-quadratic-formula-ex-2/
http://patrickjmt.com/solving-quadratic-equations-using-the-quadratic-formula-ex-3/

Graphing quadratics

http://www.khanacademy.org/math/algebra/quadtratics/v/graphing-a-quadratic-function/

http://patrickjmt.com/graphing-quadratic-functions-ex-1/
http://www.khanacademy.org/math/algebra/quadratics/e/graphing_parabolas_0.5
http://www.khanacademy.org/math/algebra/quadtratics/e/graphing_parabolas_1
http://www.khanacademy.org/math/algebra/quadratics/v/graphs-of-quadratic-functions
http://www.khanacademy.org/math/algebra/quadratics/v/quadratic-functions-3

Next Lecture - Simplify and Operations with Rational Expressions
Pre-read Algebra and Trig 1.6
Watch this 4:36 primer video on subtracting rational expressions

https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/adding-and-subtracting-rational-expressions/v/adding-and-subtracting-rational-expressions-3