Содержание
- 2. Recognize characteristics of parabolas. Graph parabolas. Determine a quadratic function’s minimum or maximum value. Solve problems
- 3. The Standard Form of a Quadratic Function The quadratic function is in standard form. The graph
- 4. Graphing Quadratic Functions with Equations in Standard Form To graph 1. Determine whether the parabola opens
- 5. Graphing Quadratic Functions with Equations in Standard Form (continued) To graph 4. Find the y-intercept by
- 6. Example: Graphing a Quadratic Function in Standard Form Graph the quadratic function Step 1 Determine how
- 7. Example: Graphing a Quadratic Function in Standard Form (continued) Graph: Step 3 Find the x-intercepts by
- 8. Example: Graphing a Quadratic Function in Standard Form (continued) Graph: Step 4 Find the y-intercept by
- 9. Example: Graphing a Quadratic Function in Standard Form Graph: The parabola opens downward. The x-intercepts are
- 10. The Vertex of a Parabola Whose Equation is Consider the parabola defined by the quadratic function
- 11. Graphing Quadratic Functions with Equations in the Form To graph 1. Determine whether the parabola opens
- 12. Graphing Quadratic Functions with Equations in the Form (continued) To graph 4. Find the y-intercept by
- 13. Example: Graphing a Quadratic Function in the Form Graph the quadratic function Step 1 Determine how
- 14. Example: Graphing a Quadratic Function in the Form (continued) Graph: Step 2 (continued) find the vertex.
- 15. Example: Graphing a Quadratic Function in the Form (continued) Graph: Step 3 Find the x-intercepts by
- 16. Example: Graphing a Quadratic Function in the Form (continued) Graph: Step 4 Find the y-intercept by
- 17. Example: Graphing a Quadratic Function in the Form (continued) Graph: Step 5 Graph the parabola. The
- 18. Minimum and Maximum: Quadratic Functions Consider the quadratic function 1. If a > 0, then f
- 19. Minimum and Maximum: Quadratic Functions (continued) Consider the quadratic function In each case, the value of
- 20. Example: Obtaining Information about a Quadratic Function from Its Equation Consider the quadratic function Determine, without
- 21. Example: Obtaining Information about a Quadratic Function from Its Equation (continued) Consider the quadratic function Find
- 22. Example: Obtaining Information about a Quadratic Function from Its Equation Consider the quadratic function Identify the
- 23. Strategy for Solving Problems Involving Maximizing or Minimizing Quadratic Functions 1. Read the problem carefully and
- 24. Strategy for Solving Problems Involving Maximizing or Minimizing Quadratic Functions (continued) 4. Calculate If a >
- 25. Example: Maximizing Area You have 120 feet of fencing to enclose a rectangular region. Find the
- 26. Example: Maximizing Area (continued) Step 2 Express this quantity as a function in one variable. We
- 27. Example: Maximizing Area (continued) Step 3 Write the function in the form Step 4 Calculate a
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