Graphing $x = 2y^2$

Graphing $x = -4(y+1)^2 + 4$

Graphing $x = -4(y+2)^2 + 4$

Graphing $x = -2(y+3)^2 + 2$

Graphing $x = 2y^2 + 12y + 17$

Graphing $x = 3y^2 + 6y + 7$

Graphing $x = -4y^2 - 16y - 12$

A civil engineering technician is reviewing the design specifications for a horizontal parabolic support beam represented by the equation $x = a(y - k)^2 + h$. Match each property of the parabola with the correct description or formula used in the standard graphing procedure.

An industrial designer is mapping the profile of a parabolic reflector defined by the equation $x = ay^2 + by + c$. To ensure the profile is graphed accurately for a manufacturing blueprint, the designer follows a specific six-step procedure. Arrange these steps in the correct order as they should be performed.

A manufacturing technician is programming a CNC router to cut a horizontal parabolic groove defined by the equation $x = ay^2 + by + c$. To ensure the groove opens to the right on the metal plate, which condition must the technician recall regarding the coefficient $a$?

A civil engineering technician is mapping a parabolic drainage channel defined by the equation $x = ay^2 + by + c$. True or False: To correctly graph this horizontal parabola using the standard 6-step procedure, the technician must recall that the axis of symmetry is a horizontal line.

Symmetry in Parabola Graphing Procedure