The function f(x) = x2 − 2x + 8 is transformed such that g(x) = f(x − 2). find the vertex of g(x).
(1, 5)
(3, 7)
(1, 9)
(−1, 7)

Second option.

Step-by-step explanation:

Given the function f(x):

Find :

Remember that:

Then, simplifying:

So the function g(x) is:

Use the following formula to find the x-coordinate of the vertex of g(x):

In this case:

Then:

Substitute this value into the function g(x) in order to find the y-coordinate of the vertex. Since , you get:

Therefore, the vertex of g(x) is:

x=half

step-by-step explanation: