Absolute Value Graphs and Equations

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.7

CCSS.HSF.IF.B.4

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

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow
• Wide
• Same

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=-|x|+9

• Narrow
• Wide
• Same

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF-IF.C.7D

Is this graph correct for y=-2abs(x+4)

• yes
• no

What is the equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

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

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, commpress by 2, right 3, up 3
• reflected over the x axis, commpress by 2, left 3, up 3

Solve:  3∣x - 3∣ - 2 = 1

• x = 2 or x = -4
• x = 2 or x = 4
• x = -2 or x = 4
• No solution