The graph of the function y = -3x^2 is a downward opening parabola. Its vertex is at the origin (0,0) and the shape of the graph is determined by the negative coefficient in front of x^2.
The domain of the function is all real numbers (-∞, ∞) because there are no restrictions on the possible x-values.
The range of the function is all real numbers less than or equal to 0, since the function is always negative and only reaches 0 at the vertex. In interval notation, the range is (-∞, 0].
Graph the function and identify the domain and range.
y equals negative 3 x squared
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