Final Review #1 Algebra 2

Factor 9x²-64

• (3x-8)(3x+8)
• (2x-8)(2x+8)
• (3x-4)(3x+4)
• (3x-8)²

Solve:           (x-4)²-18 = 0

• x = 4 + 3√2
• x = 8.24, -.24
• x = 4 ± 3√2
• x = 4 ± √18

What is the vertex:
y = 2(x-3)²+18

• (-3,-18)
• (3,-18)
• (-3,18)
• (3,18)

What would you add to 
x²-16x+___ to complete the square?

• 4
• 64
• 16
• 8

f(x) = x³ + 7

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• No transformation

Describe the transformations of the graph f(x) = x³ -----> g(x) = (x - 3)³ -2

• Right 3, Down 2

• Left 3, Up 2

• Right 3, Up 2

• Left 3, Down 2

• (-∞, ∞)
• [-2, 2]
• (-2, 2)
• [-5, 5]

What is the range of the function?

• [-1, +∞)
• (-1,1)
• [1.5, +∞)
• (-2, 2)

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime