Answer:
What are the options?
Step-by-step explanation:
1) y + 1 = (1/4)(x - 3)
2) y - 6 = 0(x + 2)
3) y - 3 = -1(x + 2)
4) y + 7 = -2(x + 6)
For this kind of questions, what you can do is to find a point on the figure and see what translations it does.
For example, you can find the point (4,2) on the figure H. And then look at each choices to see if the statement is correct.
For this question, the answer is B. The point (4,2) finally change to the (4,-8) on the figure H'. It has a vertical translation of 10 units down.
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
