A technician is mapping a signal's path modeled by the equation $x = -4(y+1)^2 + 4$. Based on the standard form of a horizontal parabola, which of the following correctly identifies the direction the path opens and the coordinates of its vertex?

A structural engineer is using the equation $x = -4(y+1)^2 + 4$ to model the curvature of a support beam in a warehouse floor plan. Match each geometric property of the beam's parabolic shape with its corresponding value based on the equation.

A CAD technician is creating a blueprint for a curved architectural panel modeled by the equation $x = -4(y+1)^2 + 4$. Arrange the following steps in the correct order to identify the properties needed to graph this parabolic curve.

An aerospace technician is reviewing the design of a curved stabilizer panel modeled by the equation $x = -4(y+1)^2 + 4$. True or False: The axis of symmetry for this panel's curve is the horizontal line $y = -1$.

Identifying Constants for Parabolic Calibration

A facility management technician is mapping a safety clearance zone around a curved protective barrier in a warehouse. The boundary of this safety zone is modeled by the horizontal parabola equation $x = -4(y+1)^2 + 4$. To determine which side of the barrier requires additional clearance, the technician must identify the direction the curve opens. Because the leading coefficient is $a = -4$, which is negative, the technician recalls that this horizontal parabola opens to the ____.

Recalling Geometric Parameters for Metal Trim Fabrication