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Alina
1 month ago
12

The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to fin

d the value of h. Then, explain how this value translates the graph of the parent function.
Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0
<span> The absolute value function exhibits symmetry. Given that the coordinates (–6, –2) and (0, –2) produce the same output, the points are equidistant from the line of symmetry. The value of –3 exists between –6 and 0. Therefore, the x-coordinate of the vertex must be –3, which is the value of </span>h<span>. This indicates that the graph of the parent function shifts 3 units to the left.</span>
AnnZ [12.3K]1 month ago
3 0
The function representing absolute value displays symmetry, with its vertex aligned on the line of symmetry. The coordinates (–6, –2) and (0, –2) yield equivalent outputs, indicating they are equidistant from the line of symmetry. The midpoint between –6 and 0 is –3. Consequently, the x-coordinate of the vertex must be –3, which corresponds to h. This results in a leftward shift of the graph of the parent function by 3 units.
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