For the quadratic function , the axis of symmetry is given by .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to find the axis of symmetry for a quadratic function in intercept/factored form. The axis of symmetry is the vertical line that passes through the midpoint of the x-intercepts.
Key Concept Explanation
The axis of symmetry for a quadratic function in the form is given by the formula . This line divides the parabola into two symmetrical halves and passes through the vertex.
Step-by-step Solution
1. Identify the x-intercepts from the given function: .
2. From the form
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