Answer:
reflection over the line y = -1
Explanation:
You want to know how the green graph (G) is related to the black graph in the figure shown.
Reflection
Both graphs have the same line of symmetry, x = -3. Points 1 unit horizontally from the line of symmetry are 1 vertical unit from the vertex, so their scale factors are the same.
The green graph opens upward, and the black graph opens downward. The different opening directions tell you that each is a reflection of the other over a horizontal line.
Points on the line of reflection are invariant. The points of intersection at (-4, -1) and (-2, -1) tell you the line of reflection passes through those points. That line is y = -1.
The green graph is a reflection of the black graph in the line y = -1.
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Additional comment
This same relation can be achieved other ways. We could rotate the graph 180° about the point (-3, -1). We could reflect over the x-axis, then translate vertically by 2 units.
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