What points do I graph the image of the rotation on?
1 answer:
Answer:
see attached
Step-by-step explanation:
No doubt you have seen that the tranformation that rotates a figure 270° CCW is the same as the one that rotates a figure 90° CW:
(x, y) ⇒ (y, -x)
This means the coordinate A(-3, 1) rotates to the position A'(1, 3). In this figure, that happens to coincide with point B.
When I drew this figure and the center of rotation O(0, 0), I was a little surprised to see the four points form a square. That makes it unsurprising that the point A gets rotated to point B by the desired transformation. (When you rotate a square 90° (or 270°) about one corner, an adjacent vertex (corner) will line up with the other adjacent vertex (corner).
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If you need to get a feel for rotations, so you can do this better in the future, it might be helpful to trace the figure (and the axes) onto a piece of tissue paper or tracing paper, then rotate it the necessary amount and see where the figure ends up.
This exercise may be easier with a print of the figure, but you can do it on a computer screen, too. (A touch screen makes it more difficult.)
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Answer: 4x² + 5x + 3
<u>Step-by-step explanation:</u>
Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.