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MAXImum [283]
3 years ago
14

The function g(x)=(x-2)^2. The function f(x)=g(x)+3. How much is f(x) shifted horizontally and vertically from g(x)?

Mathematics
1 answer:
Vilka [71]3 years ago
5 0
For this case we have the following function transformation:
 Vertical displacement.
 Assume k> 0
 If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.
 Answer:
 
Part 1:
 
C. The function is not shifted horizontally from g (x)
 
Part 2:
 
A. 3 units up from g (x)
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Answer:

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Step-by-step explanation:

Since it is a right angle triangle, we can find x from pythagoras theorem;

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x = √(400 + 441)

x = √841

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Using trigonometric ratios we can find angles A and B.

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B = tan^(-1) 0.9524

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A = 180 - (90 + 43.6)

A = 46.4°

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