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?

An automotive engineer is designing a parabolic reflector whose profile is modeled by the equation $x = -4(y+2)^2 + 4$. Because the leading coefficient $a$ is negative, the engineer determines that the reflector opens toward the ____.

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