The graph of Pgt contains the point 15 A if the graph has ev

The graph of P=g(t) contains the point (-1,-5)

A) if the graph has even symmetry, which other point must lie on the graph
B) if the graph has odd symmetry, which other point must lie on the graph
C) what point must lie on the graph of -g(t)

Solution

P = g(t)

a) if graph is even symmetric it means the graph is reflected over y axis

so if (-1 , -5 ) is point on the graph after reflection over y axis point would be ( 1 , -5 )

b) if graph is odd symmetric it means the graph is reflected over x axis

so the point would be ( -1 , 5 )

c) the point (-1,5 ) would lie on the graph of -g(t)