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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.
Example Evaluate each of the following logarithms. (a) log1000 (b) log 1/100 (c) ln1/e (d) ln √e (e) log 34 34 (f) log 8 1 Solution In order to do
5x+2x-17=53
f(x)=5x-3 g(x)=-2x^2-3 find f(-3 )and g(5)
how do you simplify an expression of 100
7v+4(v+4)
why are they letters in math for
Each side of a square is increased 4 inches. When this happens, the area is multiplied by 25. How many inches in the side of the original square?
As noted earlier most parabolas are not given in that form. So, we have to take a look at how to graph a parabola which is in the general form.
5-i/ 3+4i
Solve out the following system of equations by using augmented matrices. 3x - 3 y - 6 z = -3 2x - 2 y - 4 z = -2 -2x + 3 y + z = 7 Solution Notice that this system
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