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

Answer 1

my answer is y=5x^2

Answer 2

why?

Answer 3

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

Answer 4

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

Answer 5

faster*

Answer 6

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