Parent Functions, Graphs and Functions

• y ≥ 0
• x ≥ -2
• x ≤ -2
• y ≥ 2

Tags

CCSS.HSF-IF.C.7B

• y ≤ 3
• x ≥ 2
• y ≥ 3
• x ≤ 2

Tags

CCSS.HSA.REI.D.12

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units

Tags

CCSS.HSF.BF.B.3

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

Which is an equation that shifts the graph of the function above to the left 5 units?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

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 

Tags

CCSS.HSF.BF.B.3

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Which parent function matches the graph?

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.