1. April 19, 2013
Today:
Warm-Up: Review Solving
Quadratic Options
New Topic: Quadratic Formula
Class Work

2. Warm-Up:
1. Solve by factoring: x2 + 6x - 7 = 0 x = - 7; x = - 1
1a. Now, find the axis of symmetry and vertex
AOS = -3 Vertex = (-3, 16)
2. Solve by Completing the square: ( )2 = ??
2a. What do you notice?
3. When graphing a quadratic, it may be easier/faster
to complete the square even if the equation can be
factored.

3. Warm-Up:
3. Graph the parabola f(x) = x2 - 6x + 8. Name the zeros,
the vertex coordinates, and the axis of symmetry.
4. Find the zeros, axis of symmetry and vertex
coordinates of the parabola y = -2x2 - 12x - 16 = 0
Zeros = -3 AOS = -3 Vertex = (-2, 2)

4. Warm-Up:
5. Use any method to find the roots, axis of
symmetry, and vertex of y = -x2 + 4x - 4
6. Use any method to find the roots, axis of
symmetry, and vertex of 2x2 - 20x + 50 = 0
7. Factor completely: y2 + 2x + yx + 2y
8. Complete the Square: 25x2 + 40x - 9 = 0

5. The Quadratic Formula:
x2 + 2x + 1 = 0 -2±0 x = -1
2

6. The Quadratic Formula:
2. Solve: 2x2 + 5x + 3 = 0 x = -1, -1.5
Is there an easier way to solve? Factoring? Square
Roots? Completing the square? The quadratic formula
is likely the easiest and best method for solving.
3. Solve: 4x2 + x + 5 = 0 No Real Solution

7. The Quadratic Formula:
Conjugate: Joined
together, especially in
a pair. Connected.
x2 + 2x + 1 = 0 -2±0
2
x = -1

8. Class Work
Problems 1 - 9; show all work