Question

What is the amplitude and period of :H(x)=-3sin(x- pi/4) +2, with respect to the parent function F(x)=sinx?

Answer 1

hint : the amplitude of Y(x) = Asin (x+theta)+B
is |A|+B
and its phase shift is theta.

Answer 2

and period remains unchanged with any phase shift and is independent of amplitude.
so period of H(x)=-3sin(x- pi/4) +2 is same as that of sin x, which is ..... ?

Answer 3

-3?

Answer 4

period ? no
period of sin x is 2\(\pi\).

Answer 5

so the period for the equation is 2pi?

Answer 6

yes.
and u got the amplitude ?

Answer 7

no, How do I find that?

Answer 8

Y(x) = Asin (x+theta)+B
is |A|+B
for your question A=-3B=2

Answer 9

A=-3, B=2

Answer 10

so its -1?

Answer 11

nopes, |-3| = 3

Answer 12

so 4

Answer 13

and the phase shift is pi/4?

Answer 14

3+2 is 4 ??

Answer 15

i mean 5 my bad

Answer 16

phase shift is -pi/4

Answer 17

oh ok thanks!

Answer 18

welcome ^_^