Question

The parent square root function, f, is transformed to create function g.

g(x) = √(x - 2) + 1.
Which statement describes the transformation?
A) The graph of f is translated 2 units to the left and 1 unit up.
B) The graph of f is translated 1 unit to the right and 2 units down.
C) The graph of f is translated 1 unit to the left and 2 units up.
D) The graph of f is translated 2 units to the right and 1 unit up.

Answer 1

The parent square root function is transformed to create g(x) = √(x - 2) + 1. The graph is translated 2 units to the left and 1 unit up.

Step-by-step explanation:

The parent square root function is transformed to create the function g(x) = √(x - 2) + 1. To determine the transformation, we can compare the given function g(x) with the parent function f(x) = √x. When x is subtracted by 2, the graph is shifted 2 units to the right. And when 1 is added to the result, the graph is shifted 1 unit up. Therefore, the correct statement is:

A) The graph of f is translated 2 units to the left and 1 unit up.