Graphing the equation y = 2 – 3x^2 involves plotting points on a coordinate plane to visualize the relationship between the variables x and y. The graph of this equation represents a parabola, which is a U-shaped curve that opens downward. To graph the parabola, follow these steps:
1. Find the vertex of the parabola. The vertex is the point where the parabola changes direction. The x-coordinate of the vertex is -b/2a, where a and b are the coefficients of the x^2 and x terms, respectively. In this case, a = -3 and b = 0, so the x-coordinate of the vertex is 0. The y-coordinate of the vertex is the value of the equation when x = 0, which is y = 2. Therefore, the vertex of the parabola is (0, 2).
