Quadratic inequalities

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 (which one)

 

a) r is increased

 

b) r is decreased

 

c) s is increased

 

d) s is decreased

Answer 1

Changing the r only shifts the graph left and right.

You want to make s as small as possible.

 

I graphed it on desmos.com and added sliders for r and s

More of the number line is covered as s gets closer to zero