Step-by-step explanation:
You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotation
s completed by the tire during the journey. The tire's diameter is 1 meter, and it made 8000 rotations during the trip.
How far did the bus travel?
Give your answer in terms of pi.
How far did the bus travel?
Give your answer in terms of pi.
1 answer:
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Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.
Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.
For a function y = f(x), horizontal dilation is achieved when x is replaced by and vertical dilation is achieved when y is replaced by
where A is the scale factor.
In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.
Therefore, the answer to the given question is:
A dilation is an enlargement if the scale factor is greater than 1.
Remark
Now we have to get two more zeros from somewhere. Let us say that the last factor is x^2 + 4 which gives a pair of complex answers. The complete quartic could be something like
y = (x + 4)(x + 1)(x^2 + 4)
The graph follows.
