# Thread: Horizontal and vertical shifts of functions

1. ## Horizontal and vertical shifts of functions

1. y=-2sin(2x) 2. y=-pi cos((pi/2)x+pi)
I've been working on these problems for days so I would really appreciate if someone helped.
I found the period and amplitude and I think I found the horizontal shifts but I don't understand how to use the period to find the horizontal shift and I'm completely lost on how to find the vertical shift,please help

2. ## Re: Horizontal and vertical shifts of functions

For $\displaystyle y = A\sin B(X-C)+D$

A is the amplitude
B helps determine the period
C is the horizontal shift
D is the vertical shift

3. ## Re: Horizontal and vertical shifts of functions

That equation still leaves me confused I'm trying to teach myself trig and in my book that equation isn't there and for the equations I posted I'm not sure what B,C,or D would be :/

4. ## Re: Horizontal and vertical shifts of functions

Originally Posted by leafsakura
1. y=-2sin(2x)
A=2 (the negative sign flips the function around the x-axis)
B=2
C=0
D=0

Originally Posted by leafsakura
2. y=-pi cos((pi/2)x+pi)
$\displaystyle y= -\pi \cos \left( \left(\frac{\pi}{2} \right)x+\pi \right)$

$\displaystyle y= -\pi \cos \left(\frac{\pi}{2} \left( x+2\right) \right)$

A= $\displaystyle \pi$
B= $\displaystyle \frac{\pi}{2}$
C=2
D=0

Thank you