## Calculus 10th Edition

Find Intercepts: x-int 0=x$\sqrt (x+5)$ x=0,-5 x-intercepts at (0,0) and (-5,0) y-int y=(0)$\sqrt (0+5)$ y=0 y-intercept at (0,0) Find Symmetry: Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis. y=(-x)$\sqrt ((-x)+5)$ y=-x$\sqrt (5-x)$ Equations are not equivalent, so not symmetric to y-axis. Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis. (-y)=x$\sqrt (x+5)$ y=-x$\sqrt (x+5)$ Equations are not equivalent, so not symmetric to x-axis. Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin. (-y)=(-x)$\sqrt ((-x)+5)$ y=x$\sqrt (5-x)$ Equations are not equivalent, so not symmetric to origin.