review

Name the translation from  $y=\sqrt{x}$  to the function  $y=\sqrt{x-3}$  .

• left 3

• right 3

• up 3

• down 3

Choose the quadratic function with transformations of left 4, down 3, and a reflection over the x-axis.

•  $y=\sqrt{-x+4}-3$  

•  $y=-\sqrt{x+4}-3$  

•  $y=-\left(x+4\right)^2-3$  

•  $y=-\left(x-4\right)^2-3$  

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

What is the domain of this graph?

• [-1,∞)

• (-∞, -1]

• [ 0,∞)

• (-∞, 0]

• (-∞,3]

• [ 2,∞)

• [ 3,∞)

• (∞, 2]

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,∞) 

Find the domain of the function

  $f\left(x\right)=\sqrt{x-1}+5$  

•  $x\le1$  

•  $x\ge1$  

•  $x\le-5$  

•  $x\ge5$  

• None of these