#1 Algebra 2 – Spring Final Exam Review

The graph of y = √x has been translated to the right 3 units and down 5 units. What is the equation of the translated graph?

• y = √x + 3 + 5

• y = √x - 3 + 5

• y = √x + 3 - 5

• y = √x - 3 - 5

The graph of y = √x has been translated to the left 1 units and up 3 units. What is the equation of the translated graph?

• y = √(x + 1) + 3

• y = √(x - 1) + 3

• y = √(x + 1) - 3

• y = √(x - 1) - 3

The graph of y = 5^x has been translated to the right 2 units and up 4 units. What is the equation of the translated graph?

What is the phase shift of the graph of f(x) = cos(x + 6) - 5?

• 6 units right

• 6 units left

• 5 units right

• 5 units left

What is the phase shift of the graph of f(x) = cos(x - π/2) + 1?

• π/2 units right

• π/2 units left

• 1 units right

• 1 units left

Simplify the following: ⁶√(64x²⁴y¹⁸)

• 2|x⁴y³|

• |2x⁴y³|

• 2x⁴|y³|

• 2|x⁴|y³|