Question

In what direction and by how many units is the graph of f(x)=5cos(4x-pi)-1 vertically and horizontally shifted?

Answer 1

go down by 5 units and move left by pi.

Answer 2

@satellite73

Answer 3

i think i have answered @Patsfan12

Answer 4

I don't think you go down 5 units

Answer 5

down one on account of that \(-1\) out at the end

Answer 6

as for right or left, easiest thing to do is solve
\[4x-\pi=0\] for \(x\)

Answer 7

you get
\[x=\frac{\pi}{4}\]

Answer 8

so sorry go down by 1 unit and shift right with pi units sorry @Patsfan12

Answer 9

I see it now! Thanks guys!

Answer 10

hmm no

Answer 11

Wouldn't you go up 4?

Answer 12

compared to the graph of \(y=\sin(4x)\) the graph of \(y=\sin(4x-\pi)\) is shifted to the right \(\frac{\pi}{4}\) units

Answer 13

here look at the picture
http://www.wolframalpha.com/input/?i=5sin%284x-pi%29-1

Answer 14

My answer choices are: up 4,right pi/4
Up 4, left pi/4
Down 4, left pi/4
Up 4, left pi/4

Answer 15

@ribhu @satellite73

Answer 16

?

Answer 17

Down 4, right pi/4?

Answer 18

correct.

Answer 19

Are you sure?

Answer 20

Was this correct?