Graphing and Transforming Absolute Value Functions

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

• 0 ≤ t ≤ 40

• 0 ≤ t ≤ ∞

• 20 ≤ t ≤ 40

• -∞ ≤ t ≤ 50

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the range for this graph?

• 20 ≤ f(t) ≤ 50

• 0 ≤ f(t) ≤ ∞

• 0 ≤ f(t) ≤ 50

• -∞ ≤ f(t) ≤ 50

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|

The function f(t) = -2|t - 15| + 50 is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the maximum sales for one week?

• $40,0000

• $20,0000

• $50,000

• $10,0000

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) = -3|-x + 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = -5|x + 1| + 4

• f(x) = -3|x - 4| + 1

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

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

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