Square Root Functions and Inequalities

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

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

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

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

• Domain: x < -1 Range: y < -1

• Domain: x > 1 Range: y < 4

• Domain: x > -1 Range: y > 4

• Domain: x > 4 Range: y > -1

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

What type of function is shown?

• cubic

• square root

• absolute value

• exponential

What is the range of this function?

• {y ∣ y ≥ 1}

• {y ∣ y ≥ -1}

• {y∣ y ≥ -3}

• {y ∣ y ≤ -3}

Identify the Range for the function

Determine the equation for the graph.