A construction site manager is reviewing a blueprint that includes a horizontal parabolic support beam modeled by the equation $x = ay^2 + by + c$. If the manager notes that the coefficient $a$ is negative, in which direction does the beam's curve open?

An industrial designer uses the horizontal parabolic equations $x = ay^2 + by + c$ and $x = a(y - k)^2 + h$ to model curved surfaces in architectural plans. Match the sign of the coefficient $a$ with its corresponding orientation.

A technician is installing a parabolic heat shield modeled by the horizontal equation $x = a(y - k)^2 + h$. If the leading coefficient $a$ is positive, the shield's curve will open toward the ____.

Determining Horizontal Parabola Orientation

A landscape designer is mapping out a curved garden path that follows the horizontal parabola equation $x = ay^2 + by + c$. True or False: If the leading coefficient $a$ is a positive value ($a > 0$), the curve of the path will open toward the right.

SOP for Sheet Metal Parabolic Fabrication

A CNC programmer is setting up an automated cutting tool to trace a curved safety guard modeled by a horizontal parabolic equation. To ensure the metal is cut opening in the correct direction (left or right), the programmer must verify the parabola's orientation. Arrange the standard steps of the orientation verification procedure in the correct sequence, from first to last.