A graphic designer is creating a digital layout for an elliptical mirror. The mirror's boundary is mathematically defined by the equation $\frac{x^2}{4} + \frac{y^2}{9} = 1$. Based on the standard graphing procedure for an ellipse centered at (0, 0), match each component to its correct value or description.

A machinist is setting up a CNC router to cut an elliptical sign for a storefront. The design software requires the exact coordinates of the major (longest) and minor (shortest) axes to verify the cutting boundaries. The edge of the sign is modeled by the equation $\frac{x^2}{4} + \frac{y^2}{9} = 1$, with the center at (0, 0). Recalling the standard procedure for graphing an ellipse from this equation, which of the following identifies the correct endpoints for the major and minor axes?

Analyzing an Elliptical Architectural Feature

An architectural draftsman is sketching an elliptical archway modeled by the equation $\frac{x^2}{4} + \frac{y^2}{9} = 1$. Based on the standard graphing procedure, the draftsman determines that because the larger denominator is under the $y^2$ term, the orientation of the major axis is ____.

A technical illustrator is following a standard operating procedure to graph an elliptical component for a blueprint. The component's boundary is defined by the equation $\frac{x^2}{4} + \frac{y^2}{9} = 1$. Arrange the following steps in the correct order to accurately graph the ellipse according to the standard method.

A landscape design assistant is creating a digital layout for an elliptical pond centered at (0, 0). The boundary of the pond is mathematically defined by the equation $\frac{x^2}{4} + \frac{y^2}{9} = 1$. To plot the outline, the assistant recalls that because the larger denominator is under the $y^2$ term, the major axis is vertical. Is the following statement true or false?

"The endpoints of the vertical major axis for this elliptical pond are located at the points (3, 0) and (-3, 0)."

Drafting a Custom Elliptical Table Template