Graphing Square Root Functions Determine the Domain

What is the equation for this graph?

What is the equation for this graph?

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

y ≥ 0

• y ≥ 0

• x ≥ -2

• x ≤ -2

• y ≥ 2

What is the DOMAIN?

• [0, ∞)

• (-∞, 0)

• All real numbers

• {0, 1, 2, 3, 4,...}

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

What is the domain of this graph?

• x ≥ -1

• x ≤ -1

• x ≥ 0

• x ≤ 0

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, infinity)

• (-infinity, 0]

• [0, infinity)

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]

• Domain: [1, ∞)  Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞) 

• Domain: [4, ∞) Range: [-1,∞)