What is the equation of the axis of symmetry for the function x=1/8(y+3)^2-1

y = -3

Step-by-step explanation:

x = ⅛ (y + 3)² − 1

This is a horizontal parabola, so the axis of symmetry is a horizontal line, y = k.

The vertex of the parabola is (-1, -3).  The axis of symmetry passes through the vertex.  Therefore, the equation is y = -3.

Graph: desmos.com/calculator/seu44kskhw

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