quadratic functions

Anonymous
timer Asked: Nov 13th, 2016

Question description

Complete accurately and show all work for each answer. Must be double checked as this is an important assignment with a high percentage of the quarter grade

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. f(x) = ­3x2 + 8x  2.  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. f(x) = x2 + 6x + 9  4. 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. ­1.6x2 ­ 3.2x + 18 = 0  7. 10x2 + 3x = 1  8. x2 + 8x ­ 48 = 0    Simplify the expression.    9. (5 ­ 2i) ­ (8 ­ 11i)  10. (14 ­ 5i)2    Write each equation in vertex form. Then identify the vertex, axis of  symmetry, and direction of opening.    11. y = x2 + 10x + 27  12. y = ­9x2 + 54x ­ 8    Graph each inequality.    13. (x ­ 5)(x + 7) < 0  14. ­5x2 + x + 2 < 0    Find the exact solution to the system of equations. Check your  answer algebraically.    15. y = x2 ­ 6x + 1  y + 2x = 6  16. 2x2 ­ 4x = y + 1  x + y = 1 

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