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DanielleElmas [232]
4 years ago
12

How are transformations and functions related

Mathematics
1 answer:
Digiron [165]4 years ago
3 0

Answer:

In general, transformations are used to turn one function into another one. For example if I have a line f(x) = 2x + 3 and I want to turn it into a line that passes through (0,6) and has the same slope, I can write a new function which moves (translates) f(x) vertically 3 units: g(x) = f(x) + 3. Substituting for f(x) will show you what happened in the transformation - g(x) = (2x + 3) + 3 = 2x + 6.

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(x+y)² =(x+y)(x+y) = xx + xy + xy + yy [and when you combine like terms] = x² + 2xy + y²

(x+y)3 = (x² + 2xy + y²)(x+y) Then you FOIL (First, outer, inner, last)

(x+y)3 = (x² + 2xy + y²)(x+y) = x2x +2xxy + xy2 + x2y + 2xyy + y2y [and when you combine like terms] = x3 + 3x2y+ 3xy2 + y3

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