Graph the function. $$ f(x)=-3 x^{2} $$

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Calculate or simplify the expression $$ -3x^{2} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$-3x^{2}$$
The function $$ f(x) = -3x^{2} $$ is a quadratic function that represents a parabola opening downwards. The coefficient of $$ x^{2} $$ is -3, which means the parabola will be wider than a standard parabola. The vertex of the parabola will be at the origin (0,0) since the function is in the form $$ f(x) = ax^{2} $$ where $$ a $$ is a constant.

To graph the function, you can plot points on the coordinate plane and connect them with a smooth curve. The points to plot can be found by substituting different values of $$ x $$ into the function and calculating the corresponding values of $$ f(x) $$.
To graph the function $$ f(x) = -3x^{2} $$, plot points by substituting various $$ x $$ values and connecting them with a downward-opening parabola.

Graph the function.

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