Question

For the functions below, state the vertical translation? y = -sin(x – (π / 4)) + 2

Answer 1

http://learn.roguecc.edu/mathematics/chutt/Math112/Intro/AmplitudePeriodPhaseShiftVerticalShiftDay1_files/image016.jpg

Answer 2

see it now?

Answer 3

Would it be D = 1.0

Answer 4

1.0?

Answer 5

ahemm one sec

Answer 6

ok

Answer 7

this is my graph

Answer 8

anyway, with a trig expression like
sin(WHATEVER) + SOMEVALUE,
the vertical shift is at SOMEVALUE,
if positive upward,
if negative downward

Answer 9

So if it goes up it will be positive 3.0?

Answer 10

hmmm, let's see, what would be SOMEVALUE from \(\large
y=-sin\pmatrix{x-\frac{\pi}{4}}\color{blue}{+2} \ \ ?
\)

Answer 11

3.0?

Answer 12

2? ._.

Answer 13

I am really confused..

Answer 14

from THAT trig standard form, THAT part of it, is the vertical shift/translation/transformation

Answer 15

ahhhhh, ok. I think I get it now.

Answer 16

So for example y = 2cos(2πx) will have 0 for vertical translation, right?

Answer 17

yes

Answer 18

because it'd be the same as \(\large 2cos(2\pi x)+0\)

Answer 19

Ohhhhh, ok. I get it! Thank you!! c:

Answer 20

yw