Question

Which of the quadratic functions has the narrowest graph?

y=2/5x^2
y=-0.9x^2
y=9x^2
y=-10x^2

Answer 1

the one that has the smaller multiplier to \(\bf x^2\)

Answer 2

well.. shoot... ahemm rather the biggest multiplier.... the bigger the number
the farther "y" will go and the narrower the graph

Answer 3

So 9?

Answer 4

well... yes and no
you're correct 9 is the biggest number since it's positive

however, in this case, is a parabola, you're asked which one is the narrowest graph
it doesn't mind if it's going up or down

a positive number takes the parabola upwards
a negative one, will take it downwards

so -10 will give you a parabola going downwards and since |10| is bigger than |9| then will be that

-> http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiI5eF4yIiwiY29sb3IiOiIjM0IxMkUwIn0seyJ0eXBlIjowLCJlcSI6Ii0xMHheMiIsImNvbG9yIjoiI0UwMTYxNiJ9LHsidHlwZSI6MTAwMCwid2luZG93IjpbIi0yLjM2NDI3NTAwMDAwMDAwMTUiLCIyLjk2MDUyNDk5OTk5OTk5NTYiLCItMS4wMzE4Mzc0OTk5OTk5OTc1IiwiMi4yNDQ5NjI1MDAwMDAwMDA2Il19XQ--

Answer 5

I believe the "laws" are, if K is > 1 or < 0 it'll be narrower. If K is 0 < |K| < 1 it will become wider, so if it has a decimal, for example 0.2 or 0.57 etc. it'll be wider.

Between -4 and +5, +5 is narrower.

Answer 6

So is it -10 or 2/5?? I'm confused.

Answer 7

I'ts asking for \(\ \sf narrowest \)