Geometry

Question Analysis  

The main focus is to determine the parabola’s orientation by analyzing the positions of the focus and directrix.  

Key Concept Explanation  

A parabola's orientation is determined by the relative positions of its focus and directrix:  

Vertical parabola: Focus and directrix are aligned vertically (focus is above/below the horizontal directrix).  

Horizontal parabola: Focus and directrix are aligned horizontally (focus is left/right of the vertical directrix).  

Step-by-Step Solution  

1. Analyze the focus and directrix coordinates:  

Focus:  (a point with an -coordinate of  and -coordinate of ).  

Directrix:  (a vertical line where all points have an -coordinate of ).  

2. Determine alignment:  

The focus  lies to the left of the directrix