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A quadratic equation has roots 0 and -6 and a maximum at(-3,4). 

 

how would you find the equation of the relation?

 Feb 1, 2017

Best Answer 

 #1
avatar+26397 
+10

A quadratic equation has roots 0 and -6 and a maximum at(-3,4). 

how would you find the equation of the relation?


The quadratic equation is in general:
y=a(xx1)(xx2)|x1 and x2 are roots

 

Let x1=0 and x2=6

y=a(x0)[x(6)]y=ax(x+6)

 

The maximum is (-3,4):

y=ax(x+6)4=a(3)(3+6)4=a(3)34=a(9)|:(9)49=aa=49

 

The quadratic equation is:

y=ax(x+6)|a=49y=49x(x+6)y=49(x2+6x)y=49x2496xy=49x283x

 

see:

 

laugh

 Feb 1, 2017
 #1
avatar+26397 
+10
Best Answer

A quadratic equation has roots 0 and -6 and a maximum at(-3,4). 

how would you find the equation of the relation?


The quadratic equation is in general:
y=a(xx1)(xx2)|x1 and x2 are roots

 

Let x1=0 and x2=6

y=a(x0)[x(6)]y=ax(x+6)

 

The maximum is (-3,4):

y=ax(x+6)4=a(3)(3+6)4=a(3)34=a(9)|:(9)49=aa=49

 

The quadratic equation is:

y=ax(x+6)|a=49y=49x(x+6)y=49(x2+6x)y=49x2496xy=49x283x

 

see:

 

laugh

heureka Feb 1, 2017

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