Question 865394
The general rule is this: The leading coefficient of {{{ax^2 + bx + c}}} is 'a' and this determines how wide or narrow the graph is. The further 'a' is from 0 on the number line, the more narrow the graph is. The closer that 'a' is to 0 on the number line, the wider the graph is.



The leading coefficients for f(x)=4x^2, g(x)=-5x^2, and h(x)=0.8x^2 are 4, -5, 0.8 respectively. 



The value -5 is the furthest from 0 (compared to 4 and 0.8). So g(x)=-5x^2 is the most narrowest of the three graphs.


Next up is 4. This is the next narrowest graph



Finally, 0.8 is the closest to 0 of all 3, so it's the most widest



So our order is: -5, 4, 0.8 which leads to g(x), f(x), h(x)



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Final Answer:


The order of the functions from narrowest to widest is...


<font color="red">g(x), f(x), h(x)</font>