a review of graphing functions
DESCRIPTION
A Review of Graphing Functions. Cartesian Plane. (2,5). (-4,3). (-7,-7). (1,-3). What is a function?. y. x. y = mx + b. f(x) = ln (x+5). y = ax 2 + bx + c. f(x) = sin x. g(x) = e x. The Vertical Line Test. Linear Functions. y = mx + b. slope. y-intercept. y = 2x + 3. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/1.jpg)
A Review of Graphing Functions
![Page 2: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/2.jpg)
Cartesian Plane
(2,5)(-4,3)
(-7,-7)
(1,-3)
![Page 3: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/3.jpg)
What is a function?x y
y = mx + by = ax2 + bx + c
f(x) = sin xg(x) = ex
f(x) = ln (x+5)
![Page 4: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/4.jpg)
The Vertical Line Test
![Page 5: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/5.jpg)
![Page 6: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/6.jpg)
Linear Functions y = mx + b
slope y-intercept
y = 2x + 3
y = 3x - 4
y = -(1/2)x
![Page 7: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/7.jpg)
Linear Functions
y = 4
x = 2
![Page 8: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/8.jpg)
Quadratic Functionsy = ax2 +bx + c
y = x2
![Page 9: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/9.jpg)
Quadratic Functionsy = x2 - 2x + 1
![Page 10: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/10.jpg)
Quadratic Functionsy = x2 - 2x + 2
![Page 11: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/11.jpg)
y = ax2 + bx + c
+ -or
y = x2
y = -x2
![Page 12: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/12.jpg)
y = ax2 + bx + c
changes width of parabola
y = x2
y = 2x2
y = .5x2
![Page 13: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/13.jpg)
y = ax2 + bx + c
moves parabola up or down
y = x2 + 2x + 1
y = x2 + 2x
y = x2 + 2x - 1
![Page 14: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/14.jpg)
f(x+a)
y = x2 + 2x + 1
y = (x+1)2 + 2(x+1) + 1
![Page 15: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/15.jpg)
f(x+a)
y = x2 + 2x + 1
y = (x+1)2 + 2(x+1) + 1
![Page 16: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/16.jpg)
Graph Transformations
y = ax2 + bx + c
y = ax2 + bx + c
y = (x+h)2 + (x+h) + c
y = ± x2
![Page 17: A Review of Graphing Functions](https://reader035.vdocuments.net/reader035/viewer/2022070420/56815fbd550346895dceb7f8/html5/thumbnails/17.jpg)
Free Graphing Calculator Graphing Calculator by Mathlab