Question

Choose the function whose graph is given by (graph attached inside!)

A. y = -cos x + 2

B. y = -sin x + 2

C. y = cos x - 2

D. y = sin x + 2

***my answer: D

is that right?? I'm not too sure... :/

Answer 1

graph!

Answer 2

All choices have either a +2 or a -2 at the end

Answer 3

we can eliminate the -2 choices at the end because we're shifting the graph up 2 units

Answer 4

that's what i thought! :) so C is out!

Answer 5

The basic graph of cosine starts up at (0,1) and heads downward

Also, one peak of y = cos(x) is at x = 0, which is the point (0,1). If you reflect it over, it will become a valley (ie the smallest point)

So y = -cos(x) has a min at (0,-1). Add 2 to the y coordinate to get (0,1)

This doesn't fit since there are no extrema at x = 0 on this given graph, so that's why choice A is out

Answer 6

Choice B is out because -sin(x)+2 would have the graph start at x = 0 and go downward as x increased

Answer 7

so you're correct, it's D

Answer 8

yayyyy!! :) thanks!! :D woohoo!

Answer 9

yw