Graphing Radical Square Root Functions

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

What is the range of the function in this graph?

• (-infinity, 3]

• [3, infinity)

• (-inifnity, 0]

• [0 infinity)

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

• A
• B
• C
• D

What is the domain of the graph of the radical function?

• (-infinity, infinity)

• (-7, infinity)

• (0, infinity)

• (4, infinity)

Match the correct equation with the given graph.

• y = √(x - 3)

• y = √(x) + 3

• y = √(x + 3)

• y = √(x) - 3

Match the correct equation with the given graph.

• y = - √(x + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

What is the range of this graph?

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0

What is the domain of this graph?

• x ≥ -1

• x ≤ -1

• x ≥ 0

• x ≤ 0

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