Algebra 2

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)
• (x - 5) (x - 3)
• (x + 15) (x - 1)
• (x - 7) (x - 8)

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Factor 12z² - 6z + 42 

• 6 (2z² - z + 7) 
• 6z (2z - z + 7) 

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Which list orders the quadratic functions from narrowest to widest?

• y = x² 
  y = 4x² 
  y = 2x² - 2  
  y = 0.5 x²
• y = 0.5 x²  
   y = x² 
  y = 2x² - 2 
  y = 4x²
• y = 4x² 
  y = 2x² - 2
   y = x² 
  y = 0.5 x²  
•  y = 2x² - 2
   y = 4x²
   y = 0.5x²
   y = x²

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Factor:  3x² - 5x - 2

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

Factor:  8x² + 31x - 4

• (8x - 1)(x + 4)
• (4x - 1)(2x + 4)
• (2x - 1)(4x + 4)
• (8x - 2)(x + 2)

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

• x≥3
• x≤3
• All real numbers
• -1≤x≤5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function?
*Hint: Range is all of the y-values included in the function. 

• y≤3
• y≥3
• All real numbers
• -6≤y≤3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5