The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 9, 0. If f(x) = (x + 7)2, which of the following is g(x) based on the translation? (5 points) g(x) = (x + 9)2 g(x) = (x + 5)2 g(x) = (x - 9)2 g(x) = (x - 5)2​

Option 2 is correct.

Step-by-step explanation:

We are given the functions,

Then, we get that,

i.e.

Thus, the quotient function is .

Since, the functions in the numerator and denominator are polynomial.

So, they both are defined for all real numbers.

But, as the quotient function is not defined for x= 9.

Thus, the domain for the quotient function is 'Set of real numbers excluding 9'.

Hence, option 2 is correct.