Question

Determine the symmetries ( if any) of the graph of the given relation Y=7x^3
choose the correct symmetry of the graph.
a. it is symmetric with respect to the origin.
only_love_you_forever_268: b. It has no symmetries.
c. it is symmetric with respect to the y-axis

d. it is symmetric with respect to x-axis

Answer 1

f(-x)=7(-x)^3=-7x^3=-f(x)
this is the condition for symmetry w.r.t. the origin

Answer 2

it has rotational symmetry about the origin