Suppose an x-y axis is superimposed on the map with its origin at Des Moines, Iowa. also suppose a cold front is passing through
the US at noon having shaped roughly like a parabola with its vertex at Des Moines, Iowa ad a vertical stretch/ shrink factor of 1/20 if the independent varaible is measured in hundreds of miles. What type of function are you working with. How do you know? Is the leading coefficient positive or negative? how do you know?
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Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram
