Answer:

Step-by-step explanation:
+2*k*pi is for the periodicity (if you turn 360° you get back to the same point)
Answer:
The equation of the parallel line would be y = -1/2x + 1
Step-by-step explanation:
To start we need to find the slope of the original line. We can do that by solving for y.
x + 2y = -4
2y = -x - 4
y = -1/2x - 2
Since the slope of the original line is -1/2 and parallel lines have the same slope, we know the new line will also have -1/2 slope. Now we can use that along with the point given in point-slope form to get the find equation.
y - y1 = m(x - x1)
y - 5 = -1/2(x + 8)
y - 5 = -1/2x - 4
y = -1/2x + 1
Answer:
y - 2x = 12 and x - 2y = -18

Answer:
reflection, then rotation, then translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.
The transformations are ...
reflection, then rotation, then translation