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.