What are the reasons?
2 answers:
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The letter a represents the coefficient of
The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.
If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.
So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.
The a also controls whether the graph is concave up or concave down. If a is negative
If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.
So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)
Answer:
A
Step-by-step explanation:
When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.
3 is approximately 6.71.
6 is 6.25
6.55 is, well 6.55.
From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3, 6.55 then 6
, which is Option A.