The vertex form of a quadratic function is given by . If the vertex of the parabola is at (-2, 8) and the parabola is compressed vertically, what is the range of possible values for ?
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the vertical compression in the vertex form of a quadratic function. It specifically checks the ability to determine the range of values for that result in a vertical compression.
Key Concept Explanation
In the vertex form , the absolute value of determines the vertical stretch or compression of the parabola. If , the parabola is compressed vertically.
Step-by-step Solution
1. Identify the vertex form of the quadratic function:
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