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)?

1 answer:

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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Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

vlabodo [156]

The greatest common factor is $4t$ (we can see this by factoring it out and noting that there are no more common factors in the polynomial). Factoring it out of both terms gives:
$4t(t^2+2)$ , which is the answer.