The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
To find the solution, add 2 to the function's x-values and compute the value.
What is a function?
It is described as a particular kind of relationship, and each value in the domain is associated to exactly one value in the range according to the function. They have a predetermined domain and range.
We have:
A function which is at x = 2 mapped to 32
The above statement means that at x = 2
The value of the function will be 32
The given functions:
f(x) = -3x² - 4
Plug x = 2
f(2) = -3(2)² - 4
f(2) = -16
g(x) = 4(x + 3)² - 68
Plug x =2
g(2) = 4(2 + 3)² - 68
g(2) = 100 - 68
g(2) = 32
Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.
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