What is the order, from narrowest to widest graph, of the quadratic functions f(x) = –10x², f(x) = 2x², f(x) = 0.5x²

f(x) = –10x², f(x) = 2x², f(x) = 0.5x²

f(x) = 2x², f(x) = –10x², f(x) = 0.5x²

f(x) = 0.5x², f(x) = 2x², f(x) = –10x²

f(x) = 0.5x², f(x) = –10x², f(x) = 2x²

Question

What is the order, from narrowest to widest graph, of the quadratic functions f(x) = –10x², f(x) = 2x², f(x) = 0.5x² 

f(x) = –10x², f(x) = 2x², f(x) = 0.5x²

f(x) = 2x², f(x) = –10x², f(x) = 0.5x²

f(x) = 0.5x², f(x) = 2x², f(x) = –10x²

f(x) = 0.5x², f(x) = –10x², f(x) = 2x²

campbell_st · Answer

given a quadratic y = ax^2 + bx + c

the a value determines concavity and width

positive and negative is concavity... 

the closer |a| is to 0 the wider the parabola