Given the equations of a straight line f(x) (in slope-intercept form) and a parabola g(x) (in standard form), describe how to determine the number of intersection points, without finding the coordinates of such points. Do not give an example.

Step-by-step explanation:

Hello, when you try to find the intersection point(s) you need to solve a system like this one

So, you come up with a polynomial equation like.

And then, we can estimate the discriminant.

If there is no real solution, no intersection point.

If there is one intersection point.

If there are two real solutions, so two intersection points.

Hope this helps.

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb

to complete this square you have to rotate about the origin 270 degrees clockwise.