A landscape architect is designing a curved retaining wall for a corporate campus. The wall follows a horizontal parabolic path modeled by the equation $x = -{}2(y - 6)^2 + 15$. Which of the following equations represents the axis of symmetry for this retaining wall?

An aerospace technician is verifying the dimensions of a horizontal parabolic cooling vent. The vent's shape is modeled by the equation $x = (y - 15)^2 + 25$. The technician identifies the axis of symmetry as the horizontal line $y = \_\_\_\_$.

Geometric Alignment in Landscape Design

In a quality control department, a technician is inspecting a part with a horizontal parabolic edge modeled by the equation $x = ay^2 + by + c$. To verify the part's symmetry, the technician uses the formula y = -rac{b}{2a} to calculate the axis of symmetry. Is this formula correct for the given equation?

Determining the Center Line for a Parabolic Tool Path

A CNC machine programmer is writing a Standard Operating Procedure (SOP) on how to locate the center reference line (the axis of symmetry) of a horizontal parabolic tool path. Arrange the steps in the correct order to recall the standard mathematical procedure for finding this axis when the path is given in the general form $x = ay^2 + by + c$.