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Complete Interactivity Lesson 13-7: Translating and Scaling Sine and Cosine Functions using the Exploration Guide.
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Post a comment describing three things you learned about scaling the sine and cosine curve from this Interactivity.
Posts
15 years ago
6 comments:
I learned that the amplitude it always the absolute value or a. I also learned that if you want the graph to shift up a certain number if be pie or 3 you have to do plus that number after the equation. Also if you wanted to shift cosine to the right you'd have to add that after the eqaution.
i learned that if you change h and k in the cos or sin formula that it will translate or shift the graph and if you change a and b in the formula that you will stretch and shrink the graph.And when the you move x amount of anything to the right on a scale that you just subtract it from the problem.
mitch
i learned that u h determines if the function translates left or right. h greater then 0 goes to the right and h less then 0 goes to the left. also functions can get thinner or wider when u add more degrees to the equation
The main components I learned from working with the module:
1)Even when changing the variable "a", the curve still repeats after 2pi.
2)The variable "a" is the absolute value of the minimum and maximum points of the sin and cos curves.
3)The variable "h" is responsible for shifting the graph of the function left and right. Thus it controls the x values. The variable "k" is responsible for shifting the graph of the function up and down. Thus it controls the y values.
Jessica
Noemi
In investigating the module we learned how to change the value of H and K in the 2 trigonometric functions cos and sin. In adition we also learned that when H>0 it continues to the right, when H<0 it continues to the left. As well as the formulas for cos and sin.
After experimenting with these graph types, I discovered that you can alter the amplitude and can shift the graph according to the x-/y-axis.
In shifting the graph along the y-axis, parentheses become extremely important because it changes the equation completely.
Kenny does make good points about *a* representing the minimum and maximum of the graph.
~Shane
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