Answer:
5.35
Step-by-step explanation:
Answer:
y = (-1/6)x
Step-by-step explanation:
As we move from (-3, 0.5) to (3, -0.5), x increases by 6 and y decreases by 1.
Hence, the slope of this line is m = rise / run = -1/6.
Starting with the slope-intercept form of the equation of a straight line, we have:
y = mx + b. We substitute 0.5 for y, -3 for x and -1/6 for m, obtaining:
0.5 = (-1/6)(-3) - b, or:
0.5 = 0.5 - b. Then b = 0, and the desired equation is
y = (-1/6)x
The transformations that can occur to the graph of the function y = cos x that will exhibit changes would be changes to the angle, or changes to the coefficient. The transformations can be viewed as follows:
y = cos x transforms to y = cos (kx)
k > 1 ; a horizontal shrink occurs
0 < k < 1 ; a horizontal stretch occurs
y = cos x transforms to y = A cos x
|A| > 1 ; a vertical stretch occurs
|A| < 1 ; a vertical shrink occurs
12A + 2 + A - 1 = a + 12a + 1 = 13a + 1
