Question

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
f(x) = cosx/8 ; g(x) = cos x

Answer 1

helpppppp

Answer 2

The graph of the function f(x) is just one-eighth of the graph of g(x). so, just take all your y-coordinates in g(x) and divide them by 8. So, for example, we know that cos(0)=1, so your ordered pair would be (0,1) for g(x), but for f(x), your coordinates would be (0, 1/8).

Answer 3

@calmat01 Vertical shrink by a factor of

Vertical stretch by a factor of 8

Horizontal shrink by a factor of

Horizontal stretch by a factor of 8

which one will be the right answer?

Answer 4

Well, if you go from (0, 1) to (0, 1/8), what's happened?

Answer 5

The x value isn't changing so you haven't affected the horizontal.

Answer 6

What happened to the y value? Did it get larger or smaller?

Answer 7

it got smaller! @calmat01

Answer 8

So, does that describe a shrink or a stretch?

Answer 9

shirnk! so vertical shrink by 1/8? @calmat01

Answer 10

Well, there you go. f(x) is just 1/8th the size of g(x)

Answer 11

@hannahhhh You might want to consider the answer as a vertical shrink by a factor of 8 instead of 1/8.