When calculating the vertical position (y) for a structural arch modeled by the equation $y = -x^2$, which operation must be performed first according to the order of operations?

A landscape architect is using the equation $y = -x^2$ to design a decorative archway. When plotting this equation on a coordinate plane, the resulting curve will open in the ____ direction.

A safety engineer is modeling the shape of a support arch using the equation $y = -x^2$. To create an accurate diagram for a project report, they must graph the equation by plotting points. Arrange the following steps for this process in the correct sequence.

A technician is plotting points to graph the curve of a support arch modeled by the equation $y = -x^2$. True or False: When substituting a negative value for $x$ (such as $x = -4$) into this equation, the resulting $y$-coordinate will be a positive value.

A design technician is plotting a parabolic arch for a park project using the equation $y = -x^2$. To ensure the arch is drawn with technical accuracy, match each aspect of the plotting process with its correct description or result.

Calculation Protocol for Parabolic Design

Quality Audit of Parabolic Arch Models

Standard Operating Procedure for Graphing Quadratic Models

A civil engineering technician is verifying coordinate points for a parabolic drainage channel modeled by the equation $y = -x^2$. If a measurement is taken at a horizontal distance of $x = 5$ feet from the center, what vertical coordinate $y$ should be recorded in the technician's log?

A manufacturing technician is plotting the profile of a curved bracket modeled by the equation $y = -x^2$. Which coordinate point must the technician plot to represent the highest point, or peak, of this bracket's curve?