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Integrated Algebra Reflective Portfolio Unit #9: Systems of equation/inequalities At the conclusion of each unit, you will create a one page reflective study sheet. You must write the title of the unit and its number at the top of the page. Label each section on your sheet! Section #1: Vocabulary: Write a definition for each Quadratic equation Parabola Axis of symmetry Roots Vertex Linear equation System of equations Section #2: Formulas/Equations/Rules (Show the process) 2 Use this quadratic equation y x 4 x 1 to show how to find each: o Find Axis of symmetry-algebraically o Find Vertex- algebraically Rules for solving a system of equations –graphically o Include how to find the solution(s) using the graphing calc. What window would you need to show the solution for y=8x + 40 and y= 10x + 20? o X min:___ X max:____ Y min:____ Y max:____ Section #3: Key methods and concepts 2 Does this parabola y x 4 x 1 have a minimum or a maximum point? Explain your reasoning. Explain the process for each: y4 o Solve by graphing a linear inequality system (ex. ) y 2x 4 y x2 4 o Solve by graphing a quadratic-linear system (ex. ) solutions (0, -4) y x4 and ( 1, -3) o Solve a system of equations by substitution (ex. x y 3 solution(1, -4) x y5 o Solve a system of equations by elimination (ex. x y 3 ) solution(1, -4) x y5