Illustrative Math Algebra 2 Unit 4

Solve 2x² - 3x = 0

• x = -1.5, 0
• x = 1.5, 0
• x = -1.5, 1.5
• x = 2, 3

Tags

CCSS.HSA-REI.B.4B

What is the new equation for f(x) = 2(x - 2)² + 3 if it is shifted right 3 units and down 4 units?

• f(x) = 2(x + 1)² - 1
• f(x) = 2(x - 3)² - 4
• f(x) = 2(x + 3)² - 4
• f(x) = 2(x - 5)² - 1

 Put equation into factored form.  y=x²+16x+63

• y=(x+16)(x=63)
• y=(x-63)(x-16)
• y=(x-7)(x-9)
• y=(x+7)(x+9)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the roots for the same equation y=x²+8x+15?

• (5, 0) and (3, 0)
• (15, 0) and (8, 0)
• (0, 5) and (0, 3)
• (-5, 0) and (-3, 0)

Put equation  y=3(x-1)²+4 into general form.
Remember 1) expand, 2) rewrite,
3) distribute, 4) combine like terms.

• y=3x²-6x+7
• y=3x²-2x+5
• y=3x²-3x+5
• y=3x²-3x+7

Determine the vertex  for this general equation.
    y = x²+16x+64

• (-4, 0)
• (16, 0)
• (64, 0)
• (-8, 0)

Determine the vertex form for
 y=(x+1)(x-6). 

• y=(x-6)²+1
• y=(x-2.5)²+6.5
• y=(x-2.5)²-12.25
• y=(x-2.5)²+0

Determine the axis of symmetry for 
 y=(x+1)(x-6). 

• x=-2.5
• x=2
• x=2.5
• x=-2

How many real roots will the equation:
-4x²  - 12x + 4= 1 have?

• 1
• 2
• 3
• none

Tags

CCSS.HSA-REI.B.4B

How many x-intercepts will the equation:
 8x² =  8x - 2 have?

• 1
• 2
• 3
• none