The graph of y = 6x² + 4 is a parabola that opens upwards, just like the graph of y = 6x². However, there is a key difference between the two graphs.
In the equation y = 6x², the vertex of the parabola is located at the origin (0, 0). This means the lowest point of the graph is at the origin, and it intersects the y-axis at (0, 0).
On the other hand, in the equation y = 6x² + 4, the entire graph is shifted upwards by 4 units. This means that the vertex of this parabola is now at the point (0, 4), and it intersects the y-axis at (0, 4) instead of (0, 0).
In summary, while both graphs are similar in shape, the graph of y = 6x² + 4 is shifted up on the y-axis by 4 units compared to the graph of y = 6x².