Algebra assignment help

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vtna24

Mathematics

american highschool academy

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Please show work. This is a graded assignment. Everything you need is in the files below. thank you

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Unit 2 Project Complete parts a­c for each quadratic function. a. Find the y­intercept, the equation of the axis of symmetry, and the x­coordinates of the vertex. b. Make a table of values that includes the vertex. c. Use the information to graph the function. 1. 2. f(x) = ­3x2 + 8x f(x) = 2x2 + 7x + 1 Determine whether each function has a maximum or minimum value. State the maximum or minimum value of each function. 3. 4. f(x) = x2 + 6x + 9 f(x) = ­x2 + 4x 5. Write a quadratic equation with roots ­3 and 4 in standard form. Solve each quadratic equation using the method of your choice. Find exact solutions. 6. 7. 8. ­1.6x2 ­ 3.2x + 18 = 0 10x2 + 3x = 1 x2 + 8x ­ 48 = 0 Simplify the expression. 9. 10. (5 ­ 2i) ­ (8 ­ 11i) (14 ­ 5i)2 Write each equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening. 11. 12. y = x2 + 10x + 27 y = ­9x2 + 54x ­ 8 Graph each inequality. 13. 14. (x ­ 5)(x + 7) < 0 ­5x2 + x + 2 < 0 Find the exact solution to the system of equations. Check your answer algebraically. 15. 16. y = x2 ­ 6x + 1 y + 2x = 6 2x2 ­ 4x = y + 1 x+y=1 Algebra 2 All Classes Student Name: CATEGORY Mathematical Concepts ________________________________________ Average Explanation shows some understanding of the mathematical concepts needed to solve the problem(s). Problems may be completed correctly; work is not always clearly shown; very little Some graphs are shown; may have errors on graphs Poor Explanation shows very limited understanding of the underlying concepts needed to solve the Problems do not show work and/or are incorrect Mathematical Errors 90-100% of the steps Almost all (85-89%) of and solutions have no the steps and mathematical errors. solutions have no mathematical errors. Most (75-84%) of the steps and solutions have no mathematical errors. More than 75% of the steps and solutions have mathematical errors. Neatness and Organization The work is presented in an organized fashion but may be hard to read at times. The work appears sloppy and unorganized. It is hard to know what information goes Completion Diagrams and Sketches Outstanding Explanation shows complete understanding of the mathematical concepts used to All problems are completed correctly; work is clearly shown; answers are checked/confirmed All graphs are correctly shown The work is presented in a neat, clear, organized fashion that is easy to read. Excellent Explanation shows substantial understanding of the mathematical concepts used to Problems are competed correctly; work is clearly shown; very little checking/confirmatio All graphs are shown; may have errors on graphs The work is presented in a neat and organized fashion that is usually easy to read. Not all graphs are shown; may have errors on graphs Date Created: Aug 24, 2015 10:22 am (CDT)
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