Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.
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Transcript of Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.
![Page 1: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/1.jpg)
Chapter 10
Section 2
![Page 2: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/2.jpg)
Review
• Quadratic Functiony = ax2 + bx + c y = 2x2
+ 3x + 1
• Symmetry
![Page 3: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/3.jpg)
Axis of Symmetry
Quadratic Formula: ax2 + bx + c
What is axis of symmetry?
Formula for x valueOf symmetry axis: -b / 2a
This is also the x-coordinate of the vertex!
![Page 4: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/4.jpg)
Find the Axis of Symmetry(use -b / 2a )
y = 2x2 + 2x
y = -3x2 + 6x + 5
![Page 5: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/5.jpg)
Find the Coordinates of the Vertex(need to find x and y)
y = 2x2 + 4x
y = 3x2 – 9x + 5
![Page 6: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/6.jpg)
Match the Graph
A. y = x2 – 6x
![Page 7: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/7.jpg)
Graphing y = ax2 + bx + c
1. Find the axis of symmetry and coordinates of the vertex
2. Find 2 more points (you can use y intercept)
3. Graph and reflect points
![Page 8: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/8.jpg)
Practice
y = -3x2 + 6x + 5
1. Find the axis of symmetry and coord of the vertex
2. Find 2 more points (you can use y intercept)
3. Graph and reflect points
![Page 9: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/9.jpg)
Practice
y = x2 – 2x – 3
![Page 10: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/10.jpg)
Practice
f (x) = x2 – 4x + 3
![Page 11: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.](https://reader036.fdocuments.us/reader036/viewer/2022082622/5a4d1bae7f8b9ab0599cb981/html5/thumbnails/11.jpg)
Assignment
• P. 520 #1-16• SimSo 44