Question

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

g(x)=√x + 3 - 4
Which statement is true?.
OA. The graph of f is translated 3 units to the left and 4 units down.
OB.
The graph of f is translated 4 units to the right and 3 units down.
O C.
The graph of fis translated 4 units to the left and 3 units up.
The graph of f is translated 3 units to the right and 4 units up.
OD.

Answer 1

Explanation:

The parent square root function is given by f(x) = √x. The function g(x) is obtained by applying the following transformations to the parent function:

Shift the graph 3 units to the left: f(x+3)

Shift the graph 4 units down: f(x+3)-4

Add a constant 3: f(x+3)-4+3 = f(x+3)-1

Take the square root: g(x) = √(f(x+3)-1) = √(√(x+3)-1)

Therefore, the graph of f is translated 3 units to the left and 1 unit down to obtain the graph of g. None of the given options accurately describe the transformation, so the correct answer is option E: None of the above.