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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.
1/4 x 5/8 =
6 is to 15 as 36 is to
Simpler method Let's begin by looking at the simpler method. This method will employ the following fact about exponential functions. If b x = b y then x
[-(y4-y2 + 1)-(y4+2y2 + 1]+(4y4-10y2-3)
Example Solve 3x 2 - 2 x -11 = 0. Solution In this case the polynomial doesn't factor thus we can't do that step. Though, still we do have to know where the polynomial i
2.3+5=2.3+2.5 is an example of distributive property
a long distance telephone company charges 7 cents per minute or a 50 cent minimum charge per completed call, whichever is greater. Find the cost of a 1 minute call
I need a full review on the subject Algebra1 Because i am fixing to take the states test.
how to solve the sum of a polynomials
solve the equation 2x^3+x^2-8x+3=0 in the real number system
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