Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
f(x) = cos x/2 ; g(x) = cos x

Question

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
f(x) = cos x/2 ; g(x) = cos x

anonymous · Answer

Horizontal stretch by a factor of 2

dumbcow · Answer

the input into the "cos" function changed from x to x/2
this means the period has changed...a period is the time it takes for 1 cycle
period = 2pi/B  , where B is coefficient of x

dumbcow · Answer

haha yeah that is correct
longer period means its stretched out

anonymous · Answer

not by 1/2 tho right

dumbcow · Answer

right, "1/2" would mean the period got shorter

dumbcow · Answer

if it was cos(2x) .... that would be Horizontal stretch by factor of 1/2

anonymous · Answer

thank you !!!!

dumbcow · Answer

yw :)