Which transformation causes the described change in the graph of the function y = cos x? The transformation results in a horizon tal shrink. The transformation results in a vertical stretch. The transformation results in a horizontal stretch. The transformation results in a vertical shrink.
1 answer:
First lets look at our graph of y = cos x
***First picture***
Next lets look at a <span>vertical stretch.
***Second picture***
To vertically stretch y = cos x, we need to multiply cos by a number greater than 1. I am going to use 2. Standard Form: y = cos x
(Red Line) Vertical Stretch: y = 2 cos x
(Blue Line) Lets look at a vertical shrink ***Third picture***
To create a vertical shrink, you multiply the cos by a number less than 1. I am going to use .5 </span>
Standard Form: y = cos x
(Red Line) Vertical Shrink: y = .5 cos x
(Green Line) Now lets look at horizontal stretch.
***Forth picture.***
To create a horizontal stretch, you multiply the x by a value less than 1. I am going to use .5 Standard Form: y = cos x
(Red Line) Vertical Stretch: y = .5 cos x
(Orange Line) Finally, to create a horizontal shrink, you multiply the x by a value greater than 1. I am going to use 2. ***Fifth picture.***
Standard Form: y = cos x
(Red Line) Vertical Shrink: y = 2 cos x
(Purple Line)
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