SOLUTION: Determine whether the graph of y=3x^2+2x− 10 opens up or down and whether it has a maximum or minimum point.

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Question 457714: Determine whether the graph of y=3x^2+2x− 10 opens up or down and whether it has a maximum or minimum point.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Rule for y = ↏x² ± ↏x ± ↏
where there are numbers in the boxes and the sign ±
could either be + or -:

If the coefficient of x² is a POSITIVE number,
the graph looks like this:

which opens UPWARD and has a MINIMUM point at 
the bottom. 

-------------------------------------------

If the coefficient of x² is a NEGATIVE number,
the graph looks like this

which opens DOWNWARD and has a MAXIMUM point at 
the top.

-------------------------------------------

Your equation is

y = 3x² + 2x − 10

and the coefficient of x² is 3, and 3 is a POSITIVE
number, so its graph is the first kind.  It opens 
UPWARD and has a MINIMUM point at the bottom. 

If fact here is the graph of your equation:



Edwin
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