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The last set of transformations which we're going to be looking at in this section isn't shifts, but in spite of they are called reflections & there are two of them.
Reflection about the x-axis
Given the graph of f ( x ) then the graph of g ( x ) = - f ( x ) is the graph of f ( x ) reflected about the x-axis. It means that the signs on the all the y coordinates are altered to the opposite sign.
Reflection about the y-axis
Illustrated the graph of f ( x ) then the graph of g ( x ) = f ( - x ) is the graph of f ( x ) reflected around the y-axis. It means that the signs on the all of the x coordinates are altered to the opposite sign.
my homework instructions are "solve by factoring" and one of the problems is 2x^2+9x=0
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verify Liouville''s formula for y'''' - y'''' -y'' + y = 0 in (0,1)
Note that the right side has to be a 1 to be in standard form. The point ( h, k ) is called the center of the ellipse. To graph the ellipse all that we required are the left mo
There are two forms of the parabola which we will be looking at. The first form will make graphing parabolas very simple. Unluckily, most parabolas are not in this form. The seco
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Next we desire to take a look at f (x ) =√x . First, note that as we don't desire to get complex numbers out of a function evaluation we ought to limit the values of x that we can
f(x)=xsqr-1
a farmer has a garden with 2 sides at right angles and the third side is 423ft.long.find the perimeter of the garden. if the angle between the shortest and the longest side is 58''
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