1. April 11, 2013
Today:
Warm-Up: Review for Final
Exam
Continue Solving Quadratic
Equations by Graphing
Class Work

2. Reminders:
•Khan Academy Topics for Sunday
•All 3rd Qtr. Tests with Separate Answer Sheets
available for download at V6Math site.
•Also at V6Math:
•Practice Final exam (20 questions) with Answers
•Short Study Guides for Factoring Polynomials, Using
the Square Root, and Quadratic Equations

3. The Effect of a, b, & c on the Parabola :
Which function has a steeper, narrower curve?
a. -2x2 + x + 3 b. ⅗x2 + 4x + 6 c. x2 + 3x - 8

4. Warm-Up/Final Exam Review:
1. If the parabola y = -x2 is flipped over, made 8 times
as wide, and shifted 3 units down the y-axis, write the
equation for the new parabola. y = ⅛x2 - 3
2a. If the parabola y = x2 is flipped over, made 20 times
as narrow, and shifted 30 units up the y-axis, write the
equation for the new parabola. y = -20x2 + 30
2b. What is the axis of symmetry? x = 0

5. Warm-Up/Final Exam Review:
Standard Form of an Equation
Rewrite the following into Standard Form:
(x- 1)(x - 1) = x2 - 2x + 1
3x2 - 6x + 11
-x2 - 5x - 36 = x2 + 5x + 36

6. Warm-Up/Final Exam Review:
Solving Quadratics by Square Roots
Solve:
1. 2.
3. 4.

7. Warm-Up/Final Exam Review:
Last Warm-Up Topic for Today:
Simplifying Radicals

8. Solving Quadratic Equations by Graphing:

9. Solving Quadratic Equations by Graphing:
1. When graphing, the solutions to a quadratic
x-intercepts
equation are called the __________
2. Knowing the vertex of a parabola gives you what 2
important pieces of information
The parabola max. or min. and the center of the parabola.
3. After factoring a quadratic equation, the next step is
find the axis of symmetry/vertex
to:_____________________________
4. After factoring and finding the aos/vertex, the next
create a table of values
step is to:______________________

10. Solving Quadratic Equations by Graphing:
3. 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

11. Solving Quadratic Equations by Graphing:

12. Solving Quadratic Equations by Graphing:
And Finally.....
Graph: y = -x2 - 6x - 7

13. Class Work
Graphing Quadratics handout: All
Be sure to complete both tables
before graphing