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?

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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?

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

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a typo here that should be + not - pi/2 so c=-pi/2
so how do you know how its shifted and what the period is?
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 = ?

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