The graph of y = –0.2x2 is narrower than and opens in the same direction as wider than and opens in the same direction asnarrower than and opens in the opposite direction ofwider than and opens in the opposite direction of the graph of y = x2.

For a parabola y = ax², the sign of a determines its opening direction, and its absolute value determines its width. Since −0.2 is negative, its graph opens opposite to y = x²; since |−0.2| = 0.2 is less than 1, it is wider. The correct choice is “wider than and opens in the opposite direction of.”

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