Question

PLEASE HELP ASAP!!! CORRECT ANSWERS FOR BOTH PART 1 AND 2 ONLY PLEASE!!!

Answer 1

1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2

Step-by-step explanation:

f(x) = √x

g(x) = 2√x + 3  

• adding 3 is a vertical shift up 3 units
• multiplying by 2 is a vertical stretch by factor of 2

2. Answer: Domain: [0, ∞)

                   Range: [3, ∞)

Step-by-step explanation:

g(x) = 2√x + 3  

Domain: The restriction on "x" is that the radical must be greater than or equal to 0.  So, x ≥ 0  Interval Notation: [0, ∞)

Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0.  Add 3 to that and y ≥ 3.  Interval Notation: [3, ∞)