Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
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Describe the process by which a bill becomes Law?
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Part A: There are two different categories of transformations, the rigid transformation, which does not change the shape or size of the preimage. The non-rigid transformation, which will change the size but not the shape of the preimage.
Part B: K = 3/1 or 3, move up 18 units and to the left 6 units
g(x) = f(x) + 18
g(x) = f(x + 6)
k = 3
Part C: f(x) has slope (10-0)/(10-5) = 10/5 = 2
and intercept y - mx = 0 - 5(2) = -10 so f(x) = 2x - 10
g(x) has slope (10-0)/(2+3) = 2 and intercept y - mx = 10 - 2*2 =6
So g(x) = 2x + 6
So to transform f to g, you move the graph 16 units up.
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