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Question 28744:  I have a parabola that I need to find an equation for. 
so far all i have is y=negative___x squared+6. I need to fill in the blank. 
I know it passes through (neg.4,5) and (7,2) 
help me figure out what goes in the blank please 
I just cannot remember how to do it out 
 Answer by venugopalramana(3286)      (Show Source): 
You can  put this solution on YOUR website! I have a parabola that I need to find an equation for. 
so far all i have is y=negative___x squared+6. I need to fill in the blank. 
I know it passes through (neg.4,5) and (7,2) 
help me figure out what goes in the blank please 
I just cannot remember how to do it out 
Y=-A*X^2+6...IF IT PASSES THROUGH (-4,5) 
5= -A *(-4)^2+6 = -16A+6 
16A=6-5=1 
A=1/16..... 
LET US CHECK WHETHER (7,2) LIES ON THAT  
2=-(1/16)*7^2+6 IS NOT CORRECT ..SO PLEASE CHECK YOUR DATA 
BUT THIS IS THE METHOD OF SOLUTION.SINCE THERE IS ONLY 1 UNKNOWN WE NEED ONLY ONE POINT..THE SECOND POINT IS REDUNDANT.. 
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