Algebra 2 Final Review

(2n + 2)(6n + 1)

• 12n + 2
• 12n² + 2
• 12n² + 12n + 2
• 12n² + 14n + 2

(n² + 6n − 4)(2n − 4)

• 2n³ + 16n² − 32n + 16
• 2n³ + 8n² − 32n + 16
• 2n³ + 8n² − 12n + 16
• 2n³ + 8n² − 32n - 16

What is the vertex of the equation

 $y=\left(x-3\right)^2+5$  

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

Simplify the expression:
(- 6p⁴  + p³ + 1)
- ( 8p⁴- 8p³ + 7)

• -14p⁴ + 9p³ - 6
• -14p⁴ + 9p³ + 6
• -14p⁴ + 9p³ - 1
• -15p⁴ + 9p³ + 6

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Simplify the expression:
( - 8v⁴ + 4v³ + 3v)
+ (- 8v⁴ + 4v - 7)

• -17v⁴ + 4v³ + 2v - 7
• -16v⁴ + 4v³ + 10v - 7
• -16v⁴ + 4v³ + 7v - 7
• -16v⁴ + 4v³ + 2v - 7

What are the domain and range of the parabola shown?

• Domain: x≥-4
  Range: all real numbers
• Domain: all real numbers
  Range: y <-4
• Domain: all real numbers
  Range: y ≥-4
• Domain: x < -1
  Range: all real numbers

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2
• y = -x² + 2
• y = x² - 2
• y = -(x + 2)²

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Vertical Down 2

• Vertical Compression of 5

  Vertical Up 2

• Vertical Stretch of 5

  Vertical Up 2

• Vertical Compression of 5

  Vertical Down 2