1. Consider the function ya cos[2(x-d)]+c a. Create your own equation by choosing a value for a, d, and c: b. Complete the following table: show all calculations for full marks Amplitude: Period: Maximum Value: Minimum Value: Describe Phase Shift: Equation of the Axis of the Curve Sketch a graph of the function for one cycle. You must show your work by either using the mapping rule or drawing intermediary graphs.
In this task, you will use your knowledge of advanced functions and the graphing calculator Desmos.com to create an animated design. The animated design will be a plane-like figure going from left to right. That will be the animation. You will also analyze some of the functions used and complete a summary table. The animated design must meet the following criteria. It must have a minimum of 10 functions. It includes at least one of each of the functions below. Polynomial function. Degree 3 or higher. Exponential function. Logarithmic function. Trigonometric function. Rational function. A sum of difference of two functions from the categories above A, B, C, D, E. Example, a trig and a rational. A product of two functions from the categories above A, B, C, D, E. Example, a trig and a rational. A quotient of two functions from the categories above A, B, C, D, E. Example, a trig and a rational. A composite of two functions from the categories above A, B, C, D, E. Example, a trig and a rational. No other functions are allowed. This means no linear, quadratic, absolute value functions allowed or functions that were not covered in this course. Your task is to make an animated design using the criteria. Complete the summary table which is provided in the picture. Include a copy of all the functions used in your summary table in the folder which is named Summary Table in Desmos. Do not include restrictions in this folder.
![1. Consider the function y =a cos[2(x-d)]+c
a. Create your own equation by choosing a value for a, d, and c:
b. Complete the following table: show all calculations for full marks
Amplitude:
Period:
e.
Maximum Value:
Minimum Value:
Describe Phase Shift:
Equation of the Axis of the Curve
Sketch a graph of the function for one cycle. You must show your work by either using the mapping
rule or drawing intermediary graphs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe83c913d-64f4-4364-9b0b-cb6a7fa59612%2F51212799-3d1c-41f1-9b6a-cfdea68fde2b%2F61bf5ea_processed.png&w=3840&q=75)
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