Question

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
f(x) = 6 cos x ; g(x) = cos x

Answer 1

Step by step please:)

Answer 2

You know what the is amplitude is correct?

Answer 3

No...

Answer 4

Think about the graph of cos(x) looks like right? It starts off at 1, dips down to -1, and then back up to 1. When you put a coefficient in front of the cosx, like 6, the top and bottom are both increased six-fold. So it starts at 6, dips down to -6, then ends at 6.

Answer 5

Haha fail grammar on that first sentence X)

Answer 6

So the amplitude is half the distance from the max and min values a graph reaches....As you know from a normal cos(x) graph....the values just osculate between -1 and 1 correct? that is an amplitude of 1...because the distance from 1 to -1...is 2...and half of 2 is 1

So

when you put amplitude 6 in front of cos(x) you make those values range from 6 to -6

that distance is 12....and half of 12 is 6

Also (to shorten it) if you see a number before a function like that...i.e 3cos...or 6cos.....the 3, or 6, is the amplitude

Answer 7

So basically...to transform your graph...you make cos(x) have amplitude 6...meaning you stretch the possible values from -1 to 1.....to -6 to 6

Answer 8

Vertical stretch of 6?

Answer 9

Something like that :D sorry about the bad drawing lol