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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 find the value of h. Then, explain how this value translates the graph of the parent function.
Answers
Answer:
The absolute function is symmetric with its vertex on the line of symmetry. Because the points (-6,-2) and (0,-2) have the same output, the points are the same distance from the line of symmetry. Midway between -6 and 0 is the value of -3. Therefore, the vertex must have an x- coordinate of -3, which is the value of H. This would translate the graph of the parent function 3 to left.
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