Geometry

Question Analysis  

The main focus is to determine the axis of symmetry of a horizontal parabola from its equation.  

 

Key Concept Explanation  

Axis of Symmetry for Horizontal Parabolas: For a parabola in the form , the axis of symmetry is the horizontal line . This line divides the parabola into two mirror images.  

 

Step-by-Step Solution  

1. Identify the vertex form parameters:  

The given equation is . Compare it to the standard form :  

, , and (since there is no constant term added/subtracted).  

2. Determine the axis of symmetry:  

For horizontal parabolas, the axis of symmetry is . Substituting , the axis of symmetry is: y = 4.

 

Common Mistakes  

Forgetting that horizontal parabolas () have a horizontal axis of symmetry () rather than a vertical one.  

Misinterpreting the role of in the equation

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