Applying Transformation of a Function

Hey Everyone Sarah Ortega here,

In the beginning of class we started of with our second mental math quiz. Then Mr. P asked everyone if we had any problems with any of the questions. Then we went over the steps of graphing the equation.

Major Quadrantals

0°= 0

90°= 1.57

180°= 3.14

270°= 4.71

360°= 6.28

Always remember that y=a sin b (x-c)+d

Graph this Function: y= 3 sin (x-2)+1

Using the calculator:To figure out how to graph this curve we have to do it step by step.

or

Using the quadrantals: (x=cosx, y=sinx)

Step 1: Lets start with plotting the "x" and "y" values of y=sinx. To get the value of "y" we have to plug in the given degree to the equation and calculate the sine.

y=sinx

X	Y
0°	0
90°	1
180°	0
270°	-1
360°	0

Step 2: The next step is to apply the Amplitude to the equation.

y = 3sinx

X	Y
0°	0×3=0
90°	1×3=3
180°	0×3=0
270°	-1×3=-3
360°	0×3=0

Step 3: Apply the "c" value to the equation. then graph it.

y = 3sin(x-2)

Step 4: To get the graph of the function, you now have to apply the "d" value.

y= 3 sin (x-2)+1

y= a sin b (x-c) + d

Amplitude is the value of "a"

y= a sin b (x-c) + d

ex. y= 3 sin (x-2) +1

The Median Line moves as the "d" value changes

y= a sin b (x-c) + d

ex. y= 3 sin (x-2) +1

Phase shift is when the function starts to go up

y= a sin b (x-c) + d

ex. y= 3 sin (x-2) +1

If you haven't finished the Graphing Sine and Cosine Functions Worksheet 2 that's homework. If you finished that, you don't have any homework! That's it for tonight! HAVE A GREAT EVENING! (:

-SarahOrtega!