Respuesta :
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function [tex]f(x) = x^2[/tex] is transformed to [tex]g(x) =(x- 2)^2+3[/tex].
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.
The function first shift right by 2 units after applying the transformation x→(x-2), and then the function will shift up by 3 units after applying the transformation f'(x) →f'(x) + 3 and the function becomes g(x) = (x-2)²+3 option first is correct.
What is a function?
It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x² and
Transformed function is g(x) = (x-2)²+3
First take the parent function:
f(x) = x²
Applying the transformation
x→(x-2)
The function will shift to right by two units
f'(x) = (x-2)²
Now applying transformation
f'(x) →f'(x) + 3
Function will shift up by 3 units.
g(x) = (x-2)²+3
Thus, the function first shift right by 2 units after applying the transformation x→(x-2), and then the function will shift up by 3 units after applying the transformation f'(x) →f'(x) + 3 and function becomes g(x) = (x-2)²+3
Learn more about the function here:
brainly.com/question/5245372
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