Question

what about phase shifts?

Answer 1

before talking about trig,

lets quickly consider \(y = x^2\)

Answer 2

2 sin (x-(pi/3))

Answer 3

oh ok

Answer 4

if u shift right by 2 units,
equation befomes : \(y = (x-2)^2\)

Answer 5

if u shift left by 2 units,
equation befomes : \(y = (x+2)^2\)

Answer 6

basically,

if f(x) is the parent graph, and k is +ve then :-
f(x-k) : shifts the graph RIGHT by k units
f(x+k) : shifts the graph LEFT by k units

Answer 7

so it up 2 right by (pi/3)

Answer 8

lets not talk about up/down yet.

Answer 9

ok

Answer 10

but u got it correct ! it shifts right by pi/3

Answer 11

parent graph : sin(x)
your graph : sin(x - pi/3)

so your graph shifts the parent graph RIGHT by pi/3 units ok

Answer 12

ok

Answer 13

2 sin (x-(pi/3))


2 here is for Amplitude. Not for shifting up/down

Answer 14

2 says, that, the graph amplitude is 2

Answer 15

oh ok got it