Geometry

Question Analysis  

The main focus is to identify the axis of symmetry of a vertical parabola from its vertex form equation.  

 

Key Concept Explanation  

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

 

Step-by-Step Solution  

1. Rewrite the equation in standard vertex form:  

The given equation is . Rewrite the binomial term to match :  .

Here, and .  

2. Determine the axis of symmetry:  

For vertical parabolas, the axis of symmetry is . Substituting , the axis of symmetry is: x = -3.

 

Common Mistakes  

Forgetting that the expression corresponds to with , leading to the incorrect axis .  

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