which graph represents the function y=3x^2+12-6

1 answer

Unfortunately, I cannot display the graphs here. However, I can help you identify the graph that represents the given function.

The function y = 3x^2 + 12 - 6 is a quadratic function and can be simplified as:

y = 3x^2 + 6

The graph representing this function will be a parabola opening upwards, with the vertex at the point (0, 6). This is because the coefficient of the x^2 term is positive, determining the upward opening, and the constant term is 6, determining the y-coordinate of the vertex. The vertex will be on the y-axis, as its x-coordinate is 0.