Absolute Value Function & Zeros of Polynomials

Which function is graphed?

• f(x) = 2|x - 5|

• f(x) = |x - 5|

• f(x) = |x - 5| + 5

• f(x) = |x| + 5

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Tags

CCSS.HSF-IF.C.7D

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x-1|-3

• y=-2|x-1|+3

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=3, x=2
• x=4, x=3, x=2

Identify the zeros

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3