## Thomas' Calculus 13th Edition

(a) $y=x^2+3$ (b) $y=x^2-5$
The graph in Position $(a)$ is the graph of $y=x^2$ shifted up 3 units. Hence, the equation for this graph is $y=x^2+3.$ Similarly, the graph in Position $(b)$ is the graph of $y=x^2$ shifted down 5 units. Hence, the equation for this graph is $y=x^2-5.$