A manufacturing technician is evaluating a curved metal component whose profile is modeled by the equation $x = -4(y+2)^2 + 4$. To ensure the piece is positioned correctly in the assembly, match each geometric property of this parabola with its corresponding value or description.

A precision machinist is programming a CNC router to cut a metal component with a parabolic profile defined by the equation $x = -4(y+2)^2 + 4$. To set the machine's reference point at the peak of the curve, the machinist must identify the vertex. What are the coordinates of the vertex (h, k) for this profile?

A quality control technician is verifying the dimensions of a structural bracket whose profile follows the equation $x = -4(y+2)^2 + 4$. True or False: The $x$-intercept for this bracket's profile is located at the point $({}-12, 0)$.

Identifying the Axis of Symmetry for a Parabolic Blueprint

A machinist is drafting a standard operating procedure (SOP) to map out a parabolic mold defined by the equation $x = -4(y+2)^2 + 4$. Arrange the following steps in the correct order to accurately recall and apply the procedure for determining the properties and graphing this specific horizontal parabola.

Drafting a Technical Specification for a Custom Curved Component