Question

the parent square root function, (f), is transformed to create function (g).

(g(x) = \sqrt{x + 3} - 4)

which statement is true?

• the graph of (f) is translated 3 units to the left and 4 units down.
• the graph of (f) is translated 4 units to the left and 3 units up.
• the graph of (f) is translated 4 units to the right and 3 units down.
• the graph of (f) is translated 3 units to the right and 4 units down.

Explanation:

Identify the parent function and transformation rules

$$
LATEXBLOCK0
$$

Determine horizontal and vertical shifts

$$
LATEXBLOCK1
$$

Answer:

• (A) The graph of f is translated 3 units to the left and 4 units down. (Correct answer)
• (B) The graph of f is translated 4 units to the left and 3 units up.
• (C) The graph of f is translated 4 units to the right and 3 units down.
• (D) The graph of f is translated 3 units to the right and 4 units up.