Question 865394: Order the functions f(x)=4x^2, g(x)=-5x^2, and h(x)=0.8x^2 from narrowest graph to widest.
SOMEONE help me please!!! thank you . You don't even have to show work. please just help me.
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The general rule is this: The leading coefficient of  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...
g(x), f(x), h(x)
Answer by richwmiller(17219)  (Show Source):
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