Horizontal and Vertical Shifts of Functions

Describe the transformation of f(x) that results in g(x):
g(x)=f(x) - 2

• f(x) has been translated up 2.

• f(x) has been translated down 2.

• f(x) has been translated right 2.

• f(x) has been translated left 2.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x) - 4

• f(x) has been translated down 4.

• f(x) has been translated up 4.

• f(x) has been translated right 4.

• f(x) has been translated left 4.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x+9)

• f(x) has been translated to the left 9.

• f(x) has been translated to the right 9.

Which of the following is the equation of a parent function that has been shifted left 4 and up 7?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

Given f(x) = x - 3.  Translate the function down 5 and write the new rule.

• g(x) = x-8

• g(x) = x+2

• g(x)= x -15

• g(x) = x+8

Given f(x) = 7x +3.  Translate the function up 6 and write the new rule.

• g(x) = 7x +9

• g(x) = 7x -3

• g(x)= 21x+6

• g(x) = 2x +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

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

Match the correct equation with the given graph.

• y = √(x) + 2

• y = √(x) - 2

• y = √(x + 2)

• y = √(x - 2)