Question

If r>0 and s>0, the solution to the inequality 3(x-r)^2>s will cover more of the number line when
A. r is increased
B. r is decreased
C. s is increased
D. s is decreased

Answer 1

the function is a parabola with its vertex at (r,0) and opening upward
If s <= 0, then the solution set is the whole number line.
If s > 0, then if s gets greater, less of the line is included.
So, the real answer is, of course, D

changing r just moves the vertex.