Question

the domain of (y = \sqrt{x - 5} - 1) is

(x \ge 5)

the range of (y = \sqrt{x - 5} - 1) is

(y \ge -1)

which is the graph of (y = \sqrt{x - 5} - 1)?

graph a
graph b
graph c
graph d

Explanation:

Determine the starting point of the function

Using the Square Root Function Transformations knowledge point

$$
LATEXBLOCK0
$$

Determine the domain of the function

Using the Square Root Function Domain knowledge point

$$
LATEXBLOCK1
$$

Determine the range of the function

Using the Square Root Function Range knowledge point

$$
LATEXBLOCK2
$$

Identify the correct graph

Using the Square Root Function Transformations knowledge point

$$
LATEXBLOCK3
$$

Answer:

• graph A
• graph B
• graph C
• graph D (Correct answer)