Question

Help? /: Particular equation of the transformed sine graph? pic attached. Thanks for any help!

Answer 1

Why are some words blocked?o-O

Answer 2

Those arent really important >.<

Answer 3

@Yuba

Answer 4

Since, you asked too many questions from this,

See, when a function y=f(x) is shifted vertically, it changes to y+k = f(x) .. [ k is positive when shifted downward by k units and negative when shifted upwards by k units]

when a graph of y= f(x) is shifted horizontally, it changes to y= f(x+k) [ k>0 for leftward shift by k units and k<0 for rightward shift]

And as far as finding the center of the sinusoidal curve is concerned,

See that this is a sinusoidal curve, y= Sin x which is shifted, two units up and half units right..

Now use above info to find your resulting equation..

Answer 5

its one question? ._.

Answer 6

looks like the graph of \(y=-\cos(x)\) but with certain adjustments
one is that instead of going from -1 to 1 it goes from -2 to 6, which has length 8
that means the amplitude is 4, so it is some sort of \(y=-4\cos(x)\)
now you have to adjust for the period

Answer 7

period looks to be 4
the period of \(-4\cos(bx)\) is \(\frac{2\pi}{b}\) so set \(\frac{2\pi}{b}=4\) and solve for \(b\)