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Y=a|x-h|+k
11. how does the value of k affect the graph?
12. how does the value of h affect the graph?
13. how do the sign and absolute value of A affect the graph?

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Step-by-step explanation:

Given the general form of the absolute value function, y = a|x - h| + k

11. How does the value of k affect the graph?

The value of k determines how far up or down the parent function is translated. If k is positive, the function is translated k units up.  If k is negative, the function is translated |k | units down.

12. How does the value of h affect the graph?

The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right.  If h is negative, the function is translated |h | units to the left.

13. How do the sign and absolute value of A affect the graph?

The value of a determines whether the graph opens up or down.

  • If a is positive, the graph opens up.
  • If a is negative, the graph opens down.

The value of a also makes the parent function wider or narrower.

  • If 0 < a < 1, the graph is wider than the parent function.
  • If a > 1, the graph is narrower than the parent function.

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