The quadratic function is a transformation of the parent function . The graph of is a parabola that opens __________ and has its vertex at .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to identify the direction in which the parabola opens and the coordinates of the vertex from the vertex form of a quadratic function.
Key Concept Explanation
The vertex form of a quadratic function is given by . The value of determines the direction the parabola opens, and the vertex of the parabola is .
Step-by-step Solution
1. Identify the value of in the given function: .
2. Since
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