2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.
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Transcript of 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.
![Page 1: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/1.jpg)
2.10Graph y = ax2 + c
2.10-2.11 Quiz: Friday
Midterm: March 11
![Page 2: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/2.jpg)
Vocabulary
• A quadratic function is a nonlinear (not a line) function that can be written in the standard form y = ax2+ bx + c where a ≠ 0
• Every quadratic function has a U-shaped graph called a parabola.
![Page 3: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/3.jpg)
Vocabulary
• The most basic quadratic function in the family of quadratic functions, called the parent quadratic function, is y = x2
X -2 -1 0 1 2
Y = 4 1 0 1 4
![Page 4: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/4.jpg)
Parts of a Parabola
• The lowest or highest point on a parabola is the vertex.
• The line that passes through the vertex and divides the parabola into two symmetric parts is called the axis of symmetry.
![Page 5: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/5.jpg)
Graph y = ax2
• The coefficient “a” can stretch or shrink the graph.
• If “a” is negative then the graph flips upside down.
(Or as I like to call it…makes a SAD face)
![Page 6: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/6.jpg)
Example 1:
• Graph y = 2x2. Compare the graph with the parent function, y = x2.– You need to make a table of values.
X -2 -1 0 1 2
Y =
![Page 7: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/7.jpg)
![Page 8: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/8.jpg)
You Try:
• Graph y = 1/2x2. Compare the graph with the parent function, y = x2. X -2 -1 0 1 2
Y =
![Page 9: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/9.jpg)
Example 2:
• Graph y = -3x2. Compare the graph with the parent function, y = x2. – You need to make a table of values.
X -2 -1 0 1 2
Y =
![Page 10: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/10.jpg)
![Page 11: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/11.jpg)
Graph y = ax2 + c
• The constant “c” moves the graph up or down.– If “c” is positive it moves the graph up – if “c” is negative it moves the graph down.
![Page 12: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/12.jpg)
Example 4:
• Graph y = x2 + 2. Compare the graph with the parent function, y = x2. – You need to make a table of values.
X -2 -1 0 1 2
Y =
![Page 13: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/13.jpg)
![Page 14: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/14.jpg)
You Try:
• Graph y = x2 – 4. Compare the graph with the parent function, y = x2.
![Page 15: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/15.jpg)
![Page 16: 2.10 Graph y = ax 2 + c 2.10-2.11 Quiz: Friday Midterm: March 11.](https://reader036.fdocuments.net/reader036/viewer/2022082820/56649e7e5503460f94b824fc/html5/thumbnails/16.jpg)
Homework:
• P. 100 # 1-9all, 16, 17, 20, 21