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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.
We have to note a couple of things here regarding function composition. Primary it is NOT multiplication. Regardless of what the notation may recommend to you it is simply not
Three students were participating in a school''s fundraiser. The first student sold 2 candy bars, 7 pies, and 3 cookie dough. The second student sold 10 candy bars, 2 pies, and 2 c
If P (x) is a polynomial of degree n then P (x) will have accurately n zeroes, some of which might repeat. This fact says that if you list out all the zeroes & listing each one
Given f(x)= 2+3x-x 2 and g(x) =2x-1 evaluate ( fg ) ( x ) , (fog)(x) and (gof )(x) Solution These are the similar functions that we utilized in the first set of instances
-.7y+13.5=7y+31.98
Suppose an economy has four sectors, Agriculture (A), Energy (E), Manufacturing (M), and Transportation (T). Sector A sells 10% of its output to E and 25% to M and retains the rest
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8
Write the inverse function of: f(x)=4x-1
what is 300000000000000000000+612222
Find the standard form equation for... 4x^2-y^2+24x+4y+28=0
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