9 Weeks Review (part 1) - Algebra II

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

Which function is graphed?

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables

x: reserved

y: field-level

z: box seats

Find the expression equivalent to 8x⁴+22x³-6x²

• 2x²(4x-1)(x+3)
• 2x²(4x-1)(x-3)
• 2x²(4x+1)(x-3)
• 2x(4x-1)(x+3)

Factor Completely:
3x⁵ - 27x³

• 3(x³ - 3)(x² + 3)
• prime
• 3x³(x² - 9)
• 3x³(x - 3)(x + 3)

What is the domain for the function in interval notation?

What is the range of this function?

• [-3, 1]