Square Root Graphs

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

Describe the transformation.

Notice the "a" value is a negative one.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

What is the domain of the function in this graph?

For domain, look at the left of the graph. It starts at 0.

Look at the right. It keeps going to infinity.

• x ≤ 3
• x ≥ 3
• x ≤ 0
• x ≥ 0

What is the range of the function in this graph?

For range, look at the bottom of the graph. It starts at 3.

Look at the top of the graph. It keeps going to infinity.

• y ≤ 3
• y ≥ 3
• y ≤ 0
• y ≥ 0

What is the domain of this graph?

Look at the left. The graph starts at -1.

Look at the right. The graph hits the edge of the graphing window, that means it keeps going to infinity.

• x ≥ -1
• x ≤ -1
• x ≥ 0
• x ≤ 0

What is the range of this graph?

Look at the bottom of the graph. The graph keeps dropping to negative infinity.

Look at the top of the graph. The graph stops at 0 on the y-axis.

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0

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

*Remember, the "h" value is a "Weirdo". It's the opposite of what appears in the equation.

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

Look at the left. The graph starts at -2.

Look at the right. The graph has an arrow so it goes to infinity.

• y ≥ 0
• x ≥ -2
• x ≤ -2
• y ≥ 2