WILL MEDAL!!
Order each group of quadratic functions from widest to narrowest graph.
16. y=3x^2, y=2x^2, y=4x^2

17. f(x)=5x^2, f(x)=-3x^2, f(x)=x^2

18. y=-1/2x^2, y=5x^2, y=-1/4x^2

19. f(x)=-2x^2, f(x)=-2/3x^2, f(x)=-4x^

Question

WILL MEDAL!!
Order each group of quadratic functions from widest to narrowest graph.
 16. y=3x^2, y=2x^2, y=4x^2

17. f(x)=5x^2, f(x)=-3x^2, f(x)=x^2

18. y=-1/2x^2, y=5x^2, y=-1/4x^2

19. f(x)=-2x^2, f(x)=-2/3x^2, f(x)=-4x^

anonymous · Answer

@chosenmatt @JokerSmart @mathmate

mathmate · Answer

For a given graph
y=ax^2,
the greater the value of  |a|, the "skinnier" the graph looks.
Conversely, the smaller the value of |a|, the "fatter" the graph looks.
The sign of a will just flip it upside down, but does not change the width or narrowness.