Remember this: for a trig function of <span>y = A sin(Bx + C) + D
</span><span><span>amplitude is A
</span><span>period is <span>2π/B
</span></span><span>phase shift is −C/B
</span><span>vertical shift is <span>D
So the amplitude is -4, the period is </span></span></span>π and the phase shift is -3.14/2 = 1.57.
It is point slope
y-y1 = m(x-x1)
y1 = 2, m = -1, x1 = -3
Make it into slope intercept
Y = -1x + b
2 = 3 + b, b = -1
Y = -1x - 1
Find three points
(-3, 2), (-1, 0), (0, -1)
Now plot these points and draw a line through them
an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)
the common difference is the number that must be added to a term to get the next term
let's see if it increases by the same amount
-5 to -11 is increase of -6
-11 to -17 is increase of -6
-17 to -23 is increase of -6
-23 to -29 is increase of -6
so it appears to be aritmetic
common difference is -6
-29-6=-35
-35-6=-41
-41-6=-47
the next 3 terms are -35, -41, -47
4:3 because there's 4 a's and 3 b's.