From the attached image, we can tell that:
From 1 to 2: There is a shift from left to right along the same plane (x-axis).
From 2 to 3: There is a 90° rotation in the clockwise direction.
From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.
From 4 to 5: There is a 180° rotation in the clockwise direction.
<h3>What is a rotation?</h3>
It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.
Learn more about rotation in math:
brainly.com/question/26249005
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Full Question:
These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.
Explanation:
The formula isnt correctly written, it should state:
You have to start from and end in a³+b³. On your first step, you need to use the distributive property.
This is equal to
Note that the second term, -a²b, is cancelled by the fourth term, ba², and the third term, ab², is cancelled by the fifht term, -b²a. Therefore, the final result is a³+b³, as we wanted to.
Answer:
a) (0, ∞)
b) (-∞, ∞)
c) x = 0
Step-by-step explanation:
It helps to have some idea what the log function is.
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a) The domain is all positive numbers: (0, ∞).
b) The range is all real numbers: (-∞, ∞). (The vertical translation downward by 5 units does not change that.)
c) There is a vertical asymptote where the argument of the log function is zero: at x=0.
Linear, because the points (1,8) (2,6) (3,4) etc are decreasing at a constant rate of -2.