1. Quadratic Review
Aug. 28 and 29

2. Bell Ringer:
Find the roots of the following: Use the Quadratic Formula: 2 𝑥 2 −4𝑥−3=0 (round two places after the decimal) 3. Use factoring: 𝑥 2 +0𝑥−1=0

3. Axis of Symmetry
The axis of symmetry is where the graph is cut in half and symmetrical on both sides.
Ex:
x=2

4. Axis of Symmetry
To find the AoS given an equation, y=𝑎 𝑥 2 +𝑏𝑥+𝑐, plug into 𝑥= −𝑏 2𝑎
Ex: 𝑥 2 +5𝑥−15
Ex: 3 𝑥 2 −6𝑥+2

5. Vertex
The vertex is the point at the top, or the bottom, of the parabola.
In order to find the vertex, you must
1. Find the axis of symmetry (𝑥=− 𝑏 2𝑎 )
2. Plug your x into the original equation
3. Solve for y
4. Write as an ordered pair

6. Vertex 𝑧 2 −6𝑧+6=0 1. Axis of Symmetry z= − −6 2(1) = 6 2 =3
2. Plug into equation
𝑦= −6 3 +6
3. Solve for y
𝑦=9−18+6=−3
4. Write as an ordered pair
(3, -3)

7. Vertex
5 𝑥 2 −2𝑥−3

8. Vertex
2𝑥 2 +8𝑥+6