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

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

Option C. is the answer.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.