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ALGEBRA II CHAPTER FOUR NOTES AND HOMEWORK 4.1 GRAPH QUADRATIC FUNCTIONS IN STANDARD FORM 1.) Quadratic function 2.) Parent function (key concept box) (n/c) 3.) Properties of the graph (n/c) 4.) Minimum and maximum values HOMEWORK: pg. 240-243 REG. ALG.II: #3,4,8,11,15,17,18,21,23,27,30,33,36,39,40,53,55,57,58,62,63 PAPA: #3,6,7,10,13,16,21,28,31,39,40,42,50,53,55,56,59,60,62,63 4.2 GRAPH QUADRATIC FUNCTIONS IN VERTEX OR INTERCEPT FORM 1.) Vertex form 2.) Graph of vertex form box (n/c) 3.) Intercept form 4.) Graph of intercept form box (n/c) 5.) FOIL method HOMEWORK: pg. 249-251 REG. ALG.II : # 3,6,9,12,13,16,19,22,24,27,30,33,36,39,49,51,53,54,57,58 PAPA II: #5,8,11,12,18,21,22,23,35,37,40,41,49,51,52,53,54,55,57,58 4.3 SOLVE BY FACTORING 1.) Monomial, Binomial, Trinomial 2.) Special Factoring patterns (n/c) 3.) Quadratic equation 4.) Roots 5.) Zero Product Property box (n/c) 6.) Zeros of a function HOMEWORK: pg. 255-258 REG. ALG.II: #3-13 all, 15-23 odd, 24,27,30,33,36,41,43,44,47,53,56,59,61,65,67,73,74 PAPA II: #3-55 eoo, 56,57,58,60,61,62,66,67,68,70,71,73,74 4.4 SOLVE BY FACTORING WITH COEFFICIENTS OUT FRONT 1.) Paragraph above example 1 2.) Factoring out monomials paragraph above ex.4 3.) Solving quadratic equations paragraph above ex.5 4.) Factoring and zeros paragraph above ex.7 HOMEWORK: pg. 263-265 REG. ALG.II: # 3,6,9,12,13,16,22,23,25,32,35,38,41,44,49,50,51,63,64,65,67,69,70 PAPA II: #3-61 eoo, 62,64,65,67,68,69,79 ~!@#$%^&*(REVIEW FOR TEST!!!)*&^%$#@!~ 4.5 1.) 2.) 3.) 4.) 5.) 6.) 7.) SOLVE QUADRATIC EQUATIONS BY FINDING SQUARE ROOTS Square root Radical and radicand Properties of square roots box (n/c) Rationalizing the denominator Conjugates Chart for rationalizing Free falling objects position equation (n/c) HOMEWORK: pg. 269-271 REG. ALG.II: # 3-17 odd, 19,21,22,25,28,31,34,35,38,41,44,45 PAPA II: #3-37 odd, 38,39,40,42,44,45 4.6 PERFORM OPERATIONS WITH COMPLEX NUMBERS 1.) Imaginary unit i 2.) Square root of a negative number 3.) Complex number 4.) Imaginary number 5.) Pure imaginary number 6.) Sum and difference of complex numbers 7.) Multiplying complex numbers 8.) Complex conjugates 9.) Complex plane 10.) Absolute value of a complex number HOMEWORK: pg. 279-282 REG. ALG. II: #3-55 eoo, 57, 60,65,67,69,74,77,78 PAPA II: 3-55 eoo, 60,61,65,66,68,69, 75,77,78 4.7 COMPLETE THE SQUARE 1.) Key concept box for completing the square 2.) Solving equations paragraph above ex. 3 3.) Vertex form HOMEWORK: pg. 288-291 REG. ALG.II: #3,6,9,12,13,15,16,19,23,25,28,31,34,35,39,41,45,47,55,58,59, 63,67,69,70 PAPA II: #3-57 eoo, 58,59,61,62,63,65,66,68,69,70 4.8 USE THE QUADRATIC FORMULA AND THE DISCRIMINANT 1.) Key concept box of the quadratic formula (n/c) 2.) Discriminant 3.) Using the discriminant box (n/c) 4.) Formula for when an object is dropped or thrown (n/c) HOMEWORK: pg. 296-299 REG. ALG.II: #3,6,9,12,13,16,19,22,25,31,34,37,43,52,53,55,57,59,68,6975,76 PAPA II: #3-61 eoo,63,66,68,69,70,72,73,75,76 4.9 GRAPH AND SOLVE QUADRATIC INEQUALITIES 1.) Key concept box pg 300 2.) Systems of quadratic inequalities 3.) One variable inequalities HOMEWORK: pg. 304-307 REG. ALG. II: #3,8,11,14,17,21,25,27,31,33,35,39,44,47,71,73,78,79 PAPA II: #3,8,13,18,…,68, 69,70,72,73,74,76,78,79 4.10 WRITE QUADRATIC FUNCTIONS AND MODELS 1.) Quadratic regression HOMEWORK: pg. 312-315 REG. ALG.II: #3,5,7,12,15,16,17,19,23,43,46,47,49,53,54 PAPA II: #4,5,6,12,15,16,18,21,23,29,35,47,48,49,50,53,54 ~!@#$%^&*(REVIEW FOR TEST!!!)*&^%$#@!~