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

Parameter A:

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:

-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:

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 :

- black wave : sin(X)

- red wave : sin (2X)

Parameter C:

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:

- 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

Parameter A:

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:

-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:

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 :

- black wave : sin(X)

- red wave : sin (2X)

Parameter C:

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:

- 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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