Answer: Choice D. g(x) = -x^2-3
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Step-by-step explanation:
Start with the curve y = x^2.
Reflect it over the horizontal x axis to get y = -x^2
Then shift everything down 3 units to arrive at g(x) = -x^2-3
You can use a tool like Desmos or GeoGebra or anything similar to help verify this.