Question

Consider the inequality y>a(x-h)^2, where a,h>0. No new solutions will be added to the solution set when
A. a is increased
B. a is decreased
C. h is increased
D. h is decreased

Answer 1

y increases when a increases
y decreases when a decreases :(
y decreases when h increases :(
y increases when h decreases

Answer 2

The graph is a parabola with its vertex at (h,0)
The solution set is everything inside the parabola.
Changing h does not affect the size of that area.
So what does changing a do? It changes the width of the parabola ...