Which equation has a narrower graph than y=4x^2?

y =1/3x^2
y = 5x^2
y=1/7x^2
y=2x^2

Question

Which equation has a narrower graph than y=4x^2?

y =1/3x^2
y = 5x^2
y=1/7x^2
y=2x^2

anonymous · Answer

my answer is y=5x^2

triciaal · Answer

why?

anonymous · Answer

the graph was narrower. but im not sure, just a bit confused

jhannybean · Answer

Basically the large your scaling factor, `coefficients in front`, the larger your y-values will be. So the y-value when x=5,for instance,  plotted on y=4x$^2$ compared to y=5x$^2$ will be `less` narrow. 

Another way to look at it, is if the scaling factor, or coefficient, gets `bigger`, then your function will approach $+\infty$ a LOT laster in the $+y$ direction

jhannybean · Answer

faster*

triciaal · Answer

the coefficient determines the "growth" factor so the higher the number the higher the y-value for that particular x..