Question

question 20
1 part | -- of 1 point

write the equation of a function that has the given characteristics.

the graph of (y = \sqrt{x}), shifted 2 units to the left

a. (y = \sqrt{x + 2})
b. (y = \sqrt{x} - 2)
c. (y = \sqrt{x - 2})
d. (y = \sqrt{x} + 2)

Explanation:

Identify the parent function and transformation

Using the Function Transformation knowledge point

$$
LATEXBLOCK0
$$

Apply the horizontal shift to the equation

Using the Function Transformation knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(y = \sqrt{x+2}\) (Correct answer)
• (B) \(y = \sqrt{x}-2\)
• (C) \(y = \sqrt{x-2}\)
• (D) \(y = \sqrt{x}+2\)