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In this section we will see how knowledge of some rather simple graphs can help us graph some more complexes graphs. Collectively the methods we will learn in this section are called transformations.
Vertical Shifts
Given the graph of f ( x ) the graph of g ( x ) = f (x ) + c will be the graph of f (x )shifted up through c units if c is +ve and or down through c units if c is -ve.
Thus, if we can graph f ( x ) getting the graph of g ( x ) is fairly simple.
0.06n=0.15
-200t^2+3600t-6400 if the goal was to raise 8500 what would be the price of each ticket?
1. In real world optimisation problems there is often an accompanying constraint that must also be satisfied. These problems are typically solved using "Lagrange Multipliers", whic
Sketch the graph parabolas. f (x ) = 2 ( x + 3) 2 - 8 Solution In all of these we will just go through the procedure given above to determine the required points and t
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Gauss-Jordan Elimination Next we have to discuss elementary row operations. There are three of them & we will give both the notation utilized for each one as well as an instanc
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