M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations.

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M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. Math 2 Unit 1B Review Recall the Great Quadratic

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 1. Rewrite the quadratic in vertex form. y = x 2 + 4x – 5 A. y = (x + 2) B. y = (x – 2) 2 – 9 C. y = (x + 2) 2 – 9 D. y = (x – 2) Answer is C

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 2. Which of the graphs below could be the graph of y = – (x + 3) 2 + 1? A B C D Answer is A

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 3. What is the axis of symmetry of the quadratic function y = x 2 + 5x + 4 ? x = 4 x = 5 A B C D Answer is A

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 4. What is the domain and range of each of the functions pictured here? Domain is all reals, range is y > -2 Domain is all reals, range is y < 2 y = -2 y = 2

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 5. What is the axis of symmetry for y = 4x x + 13? A B C D Answer is x = -3/2

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 6. Determine the intervals on which the graph is increasing or decreasing. Inc x > 2 (2,∞) Dec x < 2 (-∞,2) Inc x < 3 (-∞,3) Dec x > 3 (3,∞) Inc x > 4 (4,∞) Dec x < 4 (-∞,4) Inc x < 4 (-∞,4) Dec x > 4 (4,∞) A. B. C. D. Answer is B x = 3

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 7.What is the discriminate and what does it tell you about the type and number of solutions? There are two real rational solutions.

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. Two imaginary solutions! one real solution! Two real solutions!

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 8.Find the number of real solutions for the quadratic function whose graph is shown below. A. none B. 1 C. 2 D. 3 Answer is C

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 9.What are the solutions to the quadratic equation?

M2 Unit 1B: Day 7 MM2A4 Students will solve quadratic equations and inequalities in two variables. MM2A4b Find real and complex solutions of equations by factoring, taking square roots, and applying the quadratic formula. 10. What are the solutions to the quadratic equation?