Answer
No symmetry
Work Step by Step
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
y=4-$\sqrt ((-x)+3)$
y=4-$\sqrt (3-x)$
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)=4-$\sqrt (x+3)$
y=-4+$\sqrt (x+3)$
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)=4-$\sqrt ((-x)+3)$
y=-4+$\sqrt (3-x)$
Equations are not equivalent, so not symmetric to origin.
