Factoring and Graphing Quadratics Review

Factor completely: 3x²-36x+96

• (x-4)(x-8)
• 3(x-4)(x-8)
• 3(x+1)(x+32)
• 3(x-2)(x+16)

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

Tags

CCSS.HSA.APR.C.4

Factor completely:
 3x² + 5x - 12

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

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: 2x² - 5x - 12 = 0

• x = -4 and x = -6

• x = 4 and x = -3/2

• x = 4 and x = 6

• x = -4 and x = 3/2

Tags

CCSS.HSA-REI.B.4B

Solve.
n² - 2n = 0

• n = 2 and 0
• n = -2 and 0
• n = 2
• n = 0

Tags

CCSS.HSA-REI.B.4B

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1