Final answer:
The standard form of the equation of the circle with center at the origin and containing the point (9, -8) is x^2 + y^2 = 0.
Step-by-step explanation:
First, we can use the formula for the equation of a circle with center at the origin and radius r:
x^2 + y^2 = r^2
Since the center is at the origin, we can substitute (0, 0) for (x, y):
0^2 + 0^2 = r^2
Simplifying, we get:
r^2 = 0
Thus, the equation of the circle is x^2 + y^2 = 0.