Question

for the given equation list the intercepts and test for symmetry... y=x^2-x-20 is it symmetric to the x-asix,y-axis, and origin???

Answer 1

What do you think? Graph it first.

Answer 2

The intercepts are
(0,20)
and
(-4,0) and (5,0)
The first one we obtain by putting x=0 and finding y=20.
The x-intercepts we get them by solving
\[
x^2 - x - 20= (x+4)(x-5)=0
\]

Answer 3

The graph is not symmetric with respect to the x-axis, y-axis or the origin