Using the graph of f(x)=x^2 as a guide, describe the transformations, and then graph each function.
2 answers:
Multiplying the whole function by -1 reflects the function across the x axis
so f(x) to -f(x) would be a reflection across the x axis
multiplying the whole function by a fraction is a vertical transformation, if you multiply by a value x, such that 0<x<1, then it is a vertical shrink, if x>1, then it is a vertical stretch
so like f(x) to 2f(x) is a vertical stretch by a factor of 2
adding a value to the whole function moves it up by that number
ok
so
we have multiplied the whole thing by -1 and 1/2 and then added 2 to the whole function
that is a reflection across the x axis, a vertical shrink by a factor of 1/2, and translated up by 2 units in that order
so f(x) to -f(x) would be a reflection across the x axis
multiplying the whole function by a fraction is a vertical transformation, if you multiply by a value x, such that 0<x<1, then it is a vertical shrink, if x>1, then it is a vertical stretch
so like f(x) to 2f(x) is a vertical stretch by a factor of 2
adding a value to the whole function moves it up by that number
ok
so
we have multiplied the whole thing by -1 and 1/2 and then added 2 to the whole function
that is a reflection across the x axis, a vertical shrink by a factor of 1/2, and translated up by 2 units in that order
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The distance from the second destination back to Dallas is 918 miles
<h3>Given</h3>A triangle has points Dallas, destination 1, and destination 2.
The distance from Dallas to destination 1 is 720 miles
The distance from destination 1 and destination 2 is 290 miles
the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.
He moves from destination 1 to Dallas then destination 2
We could use cosine law to find the distance
<h3>What is cosine law?</h3>The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule
=
=84100+518400-417600 cos 125
=602500-417600*(-0.5735)
=602500+239493.6
=841993.6
b=917.6 miles
≅918 miles
The distance is 918 miles he will fly from the second destination back to Dallas
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