The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). which represents g(x)? g(x) = (x + 9)2 + 4 g(x) = (x + 9)2 − 4 g(x) = (x − 4)2 + 9 g(x) = (x + 4)2 + 9

C.

Step-by-step explanation:

We are given that a function

We have to find the graph g(x) which is formed by translated 9 units up and 4 units to right of function f(x).

The  function is translated 9 units up by the rule

Apply this rule then we get

The function is translated 4 units right by using the rule

Apply this rule

Then, we get

Option C is true.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)