DAY 2: QUADRATIC FUNCTIONS
Hello my fellow classmates! This is Rojuane and here is what we learned in today's class.
Everytime we graph an equation, a table of values is needed.
Start by picking out common numbers like -1, 0, 1, and 2 for your x valoues then solve for y.
It will be a lot easier to graph, when these common numbers are picked out.
The example given on the board was:
Graphing it looks like:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiHJoK11M_O0sXFKoO-UoQD4SNt3BI3YpnyUe4vhp4HrMlLL11Ur-iPFXRknxSf486jzM3pd4B9SCZISpAq2tB6ETJ7zKlYfra5ovk5t5WajZeqkiXKB6wvefcb0zmuSl2h-Cp/s200/Picture+001.jpg)
The general form of y=x2 is y=ax2
The a (coefficient) in the equation can be any value.
The next question on the board was: y=2x2
Once again you need to make a table of values.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjd8QVoGJYMMjQMpjQ0asAmULVO5OpRMWCH8yLcaaJMi0o-VkY9BBp7YIqwHVhUPmb1L1NpKXZzAL27tAqJtVue2HUogxiqXgymt6RS_mOwB8pnTu4GN25FJlppDZNIf2srcJWC/s200/tv2.PNG)
Graphing it looks like:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq8uH9OgiM3kNlC2donyQH-3rqgWtogLWTPSRzt0-dqkC3ou50lRh0pDOMVgmImhH0jeEcMuzRlpmQKQK6GkxdxrRmcTdY4F0Ynor95cbgMEuw4Fm8aSvsJhgEofbmqcISUNVS/s200/Picture+004.jpg)
NOTE:
* When the coefficient "a" is greater than 1:
-parabola will stretch vertically
-can compress horizontally
- either way it will look narrower than x2 graph
* Coefficient is greater than 0 but less than 1:
-parabola will stretch horizontally
-it is a wider graph than x2
Eg. y=1/2x2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcsYEoAz4aH_ZWloqvuR57MaaCklvHy7D1W1A1H-ph73yxvCx4AvieKxO0tU3k7JOkGAoHXe0KSbQPq7sPfoC3lPC20DFrZ93MVRrUCDQYZI6OZJ-qaiPT9tOittGC3PgqsYGG/s200/Picture.jpg)
* If the coefficient is negative, the graph opens downward:
Eg. y=-x2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8UvEqBsy_T1BrvseYrTfVAklnrVLQubnaxfJBqP1pPMwqOMid7mL1XUrCaGKO6gR1lkAhltT3PLl4s1cLK_7H7qcQltBgMNtYA4OlT-O8eRjHft9c60VmBeFexVWz4rYbNmbQ/s200/Picture+002.jpg)
* Whenever the coefficient is positive the graph opens to the right of the x-axis and the negative coefficient goes the opposite direction:
Eg. right: x=y2 and left: x=-y2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxYEg0SGZKl8szjM_049nBy7BddWy6usAXDtvROb-dUamF8iienesQ3s7qmLzfr_l8iX4emkP2GtAncd05rrJf0uXDSc8WPQ42RjTM51N3bFpk4FT3T5nQkG5ymXpVhrG3rM48/s200/Picture+003.jpg)
This wraps up today's lesson on Quadratic Functions.
I hope this is helpful and don't forget to do your homework:
Exercise #2 questions: 2-5 AND Exercise #3 questions: 1-3
Next SCRIBE: Mr. Lawrence, I choose you! (poke ball prop) Have fun! =D
Farewell friends, see you in class!
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiHJoK11M_O0sXFKoO-UoQD4SNt3BI3YpnyUe4vhp4HrMlLL11Ur-iPFXRknxSf486jzM3pd4B9SCZISpAq2tB6ETJ7zKlYfra5ovk5t5WajZeqkiXKB6wvefcb0zmuSl2h-Cp/s200/Picture+001.jpg)
The general form of y=x2 is y=ax2
The a (coefficient) in the equation can be any value.
The next question on the board was: y=2x2
Once again you need to make a table of values.
Graphing it looks like:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq8uH9OgiM3kNlC2donyQH-3rqgWtogLWTPSRzt0-dqkC3ou50lRh0pDOMVgmImhH0jeEcMuzRlpmQKQK6GkxdxrRmcTdY4F0Ynor95cbgMEuw4Fm8aSvsJhgEofbmqcISUNVS/s200/Picture+004.jpg)
NOTE:
* When the coefficient "a" is greater than 1:
-parabola will stretch vertically
-can compress horizontally
- either way it will look narrower than x2 graph
* Coefficient is greater than 0 but less than 1:
-parabola will stretch horizontally
-it is a wider graph than x2
Eg. y=1/2x2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcsYEoAz4aH_ZWloqvuR57MaaCklvHy7D1W1A1H-ph73yxvCx4AvieKxO0tU3k7JOkGAoHXe0KSbQPq7sPfoC3lPC20DFrZ93MVRrUCDQYZI6OZJ-qaiPT9tOittGC3PgqsYGG/s200/Picture.jpg)
* If the coefficient is negative, the graph opens downward:
Eg. y=-x2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8UvEqBsy_T1BrvseYrTfVAklnrVLQubnaxfJBqP1pPMwqOMid7mL1XUrCaGKO6gR1lkAhltT3PLl4s1cLK_7H7qcQltBgMNtYA4OlT-O8eRjHft9c60VmBeFexVWz4rYbNmbQ/s200/Picture+002.jpg)
* Whenever the coefficient is positive the graph opens to the right of the x-axis and the negative coefficient goes the opposite direction:
Eg. right: x=y2 and left: x=-y2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxYEg0SGZKl8szjM_049nBy7BddWy6usAXDtvROb-dUamF8iienesQ3s7qmLzfr_l8iX4emkP2GtAncd05rrJf0uXDSc8WPQ42RjTM51N3bFpk4FT3T5nQkG5ymXpVhrG3rM48/s200/Picture+003.jpg)
This wraps up today's lesson on Quadratic Functions.
I hope this is helpful and don't forget to do your homework:
Exercise #2 questions: 2-5 AND Exercise #3 questions: 1-3
Next SCRIBE: Mr. Lawrence, I choose you! (poke ball prop) Have fun! =D
Farewell friends, see you in class!
Labels: scribe post
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