Absolute Value Functions

What are the values of A, H and K in the equation below?

f(x) = 4|x +2| - 3

• A= 4

  H= 2

  K= - 3

• A= 4

  H= - 2

  K= - 3

• A= - 3

  H= 4

  K= 2

Choose the correct equation for the graph.

How can you write an absolute value equation so that the vertex will be at (-5,-7)?

How can you write an absolute value equation for the following transformation: Narrow, left 5 units and down 6 units

On a scale of 1 to 5:

How are you feeling about absolute value functions?

1- Not comfortable and I do not know what I am doing

5- I feel confident and I am prepared for an assessment!

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• 5 😁

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

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 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