A function assigns values of one set to another. The function that will represent g(x) is g(x)=(x-4)²+9.
A function assigns the value of each element of one set to the other specific element of another set.
As it is given to us that we need to move the graph of the function 9 units up and 4 units towards the right. Therefore, the function that will represent the new location of the graph can be written as,
[tex]g(x) = (x-4)^2+9[/tex]
Hence, the function that will represent g(x) is g(x)=(x-4)²+9.
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Answer:
Option C. g(x) = (x - 4)² + 9
Step-by-step explanation:
The given function is f(x) = x². Following transformations have been done to get the new function as followed
for 9 units up
The parent function f(x) will become as g(x) = x² + 9
then 4 units shifted to the right
Then the new function becomes g(x) = (x - 4)² + 9
