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April 1, 2013


                Today:

           Welcome Back!
          Review 10.1-10.2
    Solve Quadratic Functions by
             Graphing
            Class Work
Notes:

Test Wednesday: Sections 10.1-10.3
         From V6math:
Warm Up/Review:
  1a. Write a quadratic equation and quadratic function
  in standard form. 1b. What's the difference?
 1. Any Equation in the form: ax2 + bx + c = 0; where
    a,b, & c are constants. Function: f(x) or y = ax2 + bx + c
 2. The vertex coordinates for any y = ax2 equation are: (0,0)
 3. The vertex coordinates for any y = ax2 + c equation are:
                           (0,c)
 The x coordinate of the vertex is found by: - b/2a
 4. Solve: x2 + 2x - 3 = 0solutions, or roots, are x = 1, x = -3
                 4. The
5. Algebraically, the solutions to the previous problem
are 0, -3. Graphically, what do the solutions represent?
Warm Up/Review:

 6. Solve the quadratic equation algebraically, then
 graphically. Name the axis of symmetry, vertex
 coordinates, roots, and state whether the vertex is a
 maximum or minimum: x2 - 2x - 8 = 0
a. Can it be factored? b. Yes. (x - 4)(x + 2)c. The roots are: 4,-2
  d. Find the axis of symmetry. 1
 e. Then the vertex coordinates 1, -9
                                                •               •
f. Determine one more point for
the upper half of the parabola.
Let's use x = 5. The y point is the                 •       •
same as for x = what?
            g. Connect the dots
                                                        •
Warm Up/Review:

7. Which function has a steeper, narrower curve?
     a. -2x2 + x + 3   b. 15/16x2 + 4x + 6   c. x2 + 3x - 8

8.
Warm Up/Review:


9.




10.
The axis of symmetry is:___ The vertex coordinates are:___
Make a table for two other points on the upper half--be
smart, find the y value for one point, then translate it across
the axis of symmetry. Finally, graph the parabola.
The axis of symmetry is:___ The vertex coordinates
are:___
Make a table for two other points on the upper half--be
smart, find the y value for one point, then translate it
across the axis of symmetry. Finally, graph the
parabola.
(Last Example)
Class Work:

          Must Use Scratch paper:
Show Table of Values, Line of Symmetry, vertex
                 coordinates

 Can work with a partner, but you must show
               your work!!!!
April 1
April 1
April 1
April 1

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April 1

  • 1. April 1, 2013 Today: Welcome Back! Review 10.1-10.2 Solve Quadratic Functions by Graphing Class Work
  • 2. Notes: Test Wednesday: Sections 10.1-10.3 From V6math:
  • 3. Warm Up/Review: 1a. Write a quadratic equation and quadratic function in standard form. 1b. What's the difference? 1. Any Equation in the form: ax2 + bx + c = 0; where a,b, & c are constants. Function: f(x) or y = ax2 + bx + c 2. The vertex coordinates for any y = ax2 equation are: (0,0) 3. The vertex coordinates for any y = ax2 + c equation are: (0,c) The x coordinate of the vertex is found by: - b/2a 4. Solve: x2 + 2x - 3 = 0solutions, or roots, are x = 1, x = -3 4. The 5. Algebraically, the solutions to the previous problem are 0, -3. Graphically, what do the solutions represent?
  • 4. Warm Up/Review: 6. Solve the quadratic equation algebraically, then graphically. Name the axis of symmetry, vertex coordinates, roots, and state whether the vertex is a maximum or minimum: x2 - 2x - 8 = 0 a. Can it be factored? b. Yes. (x - 4)(x + 2)c. The roots are: 4,-2 d. Find the axis of symmetry. 1 e. Then the vertex coordinates 1, -9 • • f. Determine one more point for the upper half of the parabola. Let's use x = 5. The y point is the • • same as for x = what? g. Connect the dots •
  • 5. Warm Up/Review: 7. Which function has a steeper, narrower curve? a. -2x2 + x + 3 b. 15/16x2 + 4x + 6 c. x2 + 3x - 8 8.
  • 7. The axis of symmetry is:___ The vertex coordinates are:___ Make a table for two other points on the upper half--be smart, find the y value for one point, then translate it across the axis of symmetry. Finally, graph the parabola.
  • 8.
  • 9. The axis of symmetry is:___ The vertex coordinates are:___ Make a table for two other points on the upper half--be smart, find the y value for one point, then translate it across the axis of symmetry. Finally, graph the parabola.
  • 10.
  • 11.
  • 12.
  • 14. Class Work: Must Use Scratch paper: Show Table of Values, Line of Symmetry, vertex coordinates Can work with a partner, but you must show your work!!!!