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

Answer 1

Horizontal stretch by a factor of 2

Answer 2

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

Answer 3

haha yeah that is correct
longer period means its stretched out

Answer 4

not by 1/2 tho right

Answer 5

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

Answer 6

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

Answer 7

thank you !!!!

Answer 8

yw :)