Question

In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted? What is the Period?

Answer 1

you want to put it in this form first

f(x)= a sin(b(x-c))-d
a tells you the amplitude or knows as vertical compression/expansion, b tells you the horizontal compression/expansion, c tells you the horizontal shift, and d tells you the vertical shift

Answer 2

I will show you how to do that for your question, you can try it yourself for some other ones

Answer 3

f(x) = 6 sin(2x + π) − 5
=6 * sin(2*(x-π/2))-5
f(x)= a sin(b(x-c))+d
so a=6,b=2,c=π/2,d=-5

Answer 4

a typo here that should be + not - pi/2
so c=-pi/2

Answer 5

so how do you know how its shifted and what the period is?

Answer 6

@Rabakku @aaronq @misssunshinexxoxo @ganeshie8 @Hero @jagr2713

Answer 7

f(x)= a sin(b(x-c))-d
f(x) = 6 sin(2x + π) − 5

by comparing the 2 functions you can see that the vertical shift is d = ?