Question

y = x^2 - 7x
a. It is symmetric with respect to the x-axis
b. It is symmetric with respect to the y-axis
c. none of the symmetries apply

d. it is symmetric with respect to the origin

Answer 1

answer=C
assume we are talking about a function in x:
\[f(-x)=-f(x) \implies odd\ function\]\[f(-x)=f(x) \implies even\ function\]Odd functions have symmetry through the origin;
Even functions have symmetry about the y-axis;
Only relations that are not functions (in x) have x-axis symmetry

Yours is a function that is neither even nor odd.