Beth and Jacob are graphing two equations on a coordinate grid. Beth has graphed the equation y = x² + 1. If Jacob graphs y = x² + 3, where will his graph be in relation to the graph Beth made?

When comparing the equations y=x2+1 and y=x2+3, we can observe that both equations represent parabolas because they have the form y=ax2+c, where a represents the coefficient of the quadratic term and c represents the constant term.
The equation y=x2+1 represents a parabola that opens upwards and has its vertex at the point (0, 1) on the coordinate grid. This means that Beth's graph is shifted upward by 1 unit compared to the standard parabola 2y=x2.
Now, when Jacob graphs y=x2+3, the constant term in the equation is 3 instead of 1. This indicates that his graph will be vertically shifted upward by an additional 2 units compared to Beth's graph. Therefore, Jacob's graph will have its vertex at the point (0, 3) on the coordinate grid, 2 units higher than Beth's graph.
In summary, Jacob's graph y=x2+3 will be positioned above Beth's graph y=x2+1 at every point on the coordinate grid due to the vertical shift of 2 units upward.