Transformation of Parent Functions with Horizontal and Vertical Shifts

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

Describe the transformation

• Left 4 units, up 1 unit

• Right 4 units, up 1 unit

• Left 4 units, down 1 unit

• Right 4 units, down 1 unit

Which of these equations shifts a radical equation right 1 time and up 2 times?

• y = √(x + 1) - 2 

• y = √(x - 1) + 2

• y = √(x - 2) + 1

• y = √(x + 2) - 1

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 shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

• f(x + 2)

• f(x) + 2

• f(x - 2)

• f(x) - 2

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

• f(x - 3)

• f(x + 3)

• f(x) + 3

• f(x) - 3