Question

In two or more complete sentences, compare the number of -intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=-x^2 - 5

Answer 1

x^2 hits the x axis just once, at x = y = 0
now if y = -x^2 - 5
then for y = 0 you have
x^2 = -5
x = +/- i sqrt 5
In other words the roots are imaginary and it NEVER hits the axis
HOWEVER if you have a typo and mean:
g(x) = x^2 -5
then
x^2 = 5 for y = g(x) = 0
and x = + or - sqrt 5, two roots