The quadratic function undergoes a vertical compression and a reflection. If the vertex of the new parabola is at (-4, -6), what is the value of the coefficient in the transformed function?
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to identify the coefficient in the vertex form of a quadratic function after a vertical compression and reflection. The student must understand the effect of the coefficient on the shape and direction of the parabola.
Key Concept Explanation
In the vertex form , the coefficient determines the vertical stretch or compression and the direction in which the parabola opens. If , the parabola is compressed vertically; if , the parabola is reflected over the x-axis.
Step-by-step Solution
1. Identify the given quadratic function:
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