Square Root Functions Transformations

Which equation is shown graphed?

• y = −√(x + 1) + 4

• y = −√(x − 1) + 4

• y = √(x − 1) + 4

• y = √(x + 1) + 4

f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

Which of the following is the function shown in the graph?

• y = √(x) + 2

• y = √(x) - 2

• y = √(x + 2)

• y = √(x - 2)

Name the parent function.

• cube root

• quadratic

• cubic

• square root

Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

Find the equation that matches this graph.

Find the equation that matches this graph.

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

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,∞) 

What is the range of the function in this graph?

• (-infinity, 3]

• [3, infinity)

• (-inifnity, 0]

• [0 infinity)