Graphing Absolute Value

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x |

• f(x) = -3|x| - 7

• f(x) = -|-x + 1| + 4

• f(x) = 5|x - 4| - 1

Which function shows a horizontal stretch and a vertical translation?

• f(x) = 9|-x|  + 2
• f(x) = |¹/₂x + 3| - 7
• f(x) = -|4x + 1| + 5
• f(x) = ¹/₃|2x - 4| - 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which function shows a horizontal and vertical reflection?

• f(x) = -3|-x + 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = 3|-x + 1| + 4

• f(x) = -3|x - 4| + 1

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|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -|2x - 3| + 5
• f(x) = -|x + 5| - 3
• f(x) = -|2x + 6| + 5
• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

What is the range?

• -7 ≤ y ≤ 5
• -9 ≤ y ≤ 3
• -5.5 ≤ y ≤ -0.5
• -∞ ≤ y ≤ 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

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

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

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

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D