A CAD technician is modeling a hyperbolic structural support for a new bridge project. To ensure the component is correctly oriented in the design software, the technician must identify the position of the transverse axis. According to the standard form of a hyperbola, which condition ensures that the transverse axis lies horizontally on the $x$-axis?

An apprentice drafter is reviewing the standard form equation for a hyperbolic cooling tower design in a CAD software training module. True or False: If the equation's $x^2$-term is positive, the drafter should recall that the transverse axis of the hyperbola will lie vertically on the $y$-axis.

In technical design and manufacturing, correctly identifying the orientation of hyperbolic components is essential for precision. Match the algebraic condition from a hyperbola's standard form equation with the resulting orientation of its transverse axis.

Orientation Rule for Hyperbolic Structural Components

A CNC programmer is setting up a machine to cut a hyperbolic gear component. The blueprint shows a standard form equation where the $y^2$-term is positive. To properly orient the component, the programmer should recall that the transverse axis lies ____ on the $y$-axis.

Determining Orientation for CAD Hyperboloid Models