Today in class, we learned what each parameter in the sine function does.
This is what a sine function formula looks like:
but.. what does the formula mean?
Let's start with Parameter D:
Parameter D shifts the graph up and down
- a (+) value shifts the graph upwards by
x number of units
- a (-) value shifts the graph downwards
so..if D = 2, the graph shifts up 2 units
if D = -2, it shifts down 2 units
![](//2.bp.blogspot.com/_vOQGpEuQrQo/Sht9LrrS3KI/AAAAAAAAADc/vp6HNiG1sQU/s200/graph.jpg)
Parameter A:
![](//2.bp.blogspot.com/_vOQGpEuQrQo/ShuInm_Wk5I/AAAAAAAAAEU/s4sFp4VT25A/s200/parametera.jpg)
Parameter A controls the amplitude of
the graph
* The amplitude gets higher when the value of
gets bigger. A negative value will flip the wave
upside down, but the height of the wave does
not change.
Example:
![](//2.bp.blogspot.com/_vOQGpEuQrQo/ShuAmepbT-I/AAAAAAAAADs/tGSE7OU7_fY/s200/graph1.jpg)
-the black wave is what a basic
function looks like
- the blue wave represents the function with
a negative A value (A=-2)
-the red wave represents the function with a
positive A value (A= 2)
Parameter B:
![](//4.bp.blogspot.com/_vOQGpEuQrQo/ShuJaABivxI/AAAAAAAAAEc/186PeBf2Fhc/s200/parameterb.jpg)
Parameter controls the width of the
graph. It also multiplies the copy of
the wave.
normal sine function : period = 2π
so...B= 2 is the same as 2π/2 or π
* the value of B becomes divides the
normal sine function.
Example :
![](//4.bp.blogspot.com/_vOQGpEuQrQo/ShuL6oJgYbI/AAAAAAAAAEk/Lzl5LBLcAqY/s200/formula3.jpg)
- black wave : sin(X)
- red wave : sin (2X)
Parameter C:
![](//3.bp.blogspot.com/_vOQGpEuQrQo/ShuEni_nZeI/AAAAAAAAAD0/-AxJ0_bBows/s200/paramaterc.jpg)
Parameter C shifts the graph
left and right
- a (+) value shifts the graph
to the left by x number of
units.
- a (-) value shifts the graph
to the right.
Example:
![](//2.bp.blogspot.com/_vOQGpEuQrQo/ShuNoHzA-7I/AAAAAAAAAEs/4D-i0tI75-M/s200/formula4.jpg)
- black wave - represents the basic
sine function
- red wave - represents a positive C
value ( C=2)
- blue wave - represents a negative C
value (C= -2)
That's it for today's blog. I hope it helped you guys understand the today's topic.
The next blogger will be... Roe.
- a (+) value shifts the graph upwards by
x number of units
- a (-) value shifts the graph downwards
so..if D = 2, the graph shifts up 2 units
if D = -2, it shifts down 2 units
![](http://2.bp.blogspot.com/_vOQGpEuQrQo/Sht9LrrS3KI/AAAAAAAAADc/vp6HNiG1sQU/s200/graph.jpg)
Parameter A:
![](http://2.bp.blogspot.com/_vOQGpEuQrQo/ShuInm_Wk5I/AAAAAAAAAEU/s4sFp4VT25A/s200/parametera.jpg)
Parameter A controls the amplitude of
the graph
* The amplitude gets higher when the value of
gets bigger. A negative value will flip the wave
upside down, but the height of the wave does
not change.
Example:
![](http://2.bp.blogspot.com/_vOQGpEuQrQo/ShuAmepbT-I/AAAAAAAAADs/tGSE7OU7_fY/s200/graph1.jpg)
-the black wave is what a basic
function looks like
- the blue wave represents the function with
a negative A value (A=-2)
-the red wave represents the function with a
positive A value (A= 2)
Parameter B:
![](http://4.bp.blogspot.com/_vOQGpEuQrQo/ShuJaABivxI/AAAAAAAAAEc/186PeBf2Fhc/s200/parameterb.jpg)
Parameter controls the width of the
graph. It also multiplies the copy of
the wave.
normal sine function : period = 2π
so...B= 2 is the same as 2π/2 or π
* the value of B becomes divides the
normal sine function.
Example :
![](http://4.bp.blogspot.com/_vOQGpEuQrQo/ShuL6oJgYbI/AAAAAAAAAEk/Lzl5LBLcAqY/s200/formula3.jpg)
- black wave : sin(X)
- red wave : sin (2X)
Parameter C:
![](http://3.bp.blogspot.com/_vOQGpEuQrQo/ShuEni_nZeI/AAAAAAAAAD0/-AxJ0_bBows/s200/paramaterc.jpg)
Parameter C shifts the graph
left and right
- a (+) value shifts the graph
to the left by x number of
units.
- a (-) value shifts the graph
to the right.
Example:
![](http://2.bp.blogspot.com/_vOQGpEuQrQo/ShuNoHzA-7I/AAAAAAAAAEs/4D-i0tI75-M/s200/formula4.jpg)
- black wave - represents the basic
sine function
- red wave - represents a positive C
value ( C=2)
- blue wave - represents a negative C
value (C= -2)
That's it for today's blog. I hope it helped you guys understand the today's topic.
The next blogger will be... Roe.
1 comments:
Excellent explanation. Really helped a lot, thank you.
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