SOLUTION: How would i write a function of the form y=ax^2+bx whose graph contains the points (1,6) and (3,6)?
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Question 366132: How would i write a function of the form y=ax^2+bx whose graph contains the points (1,6) and (3,6)?
Found 2 solutions by solver91311, Fombitz:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Remember that the points are ordered pairs of the form )
So if )
is an element of the solution set of 
, then
^2\ +\ b(1)\ =\ a\ +\ b\ =\ 6)
must be a true statement.
Similarly,
^2\ +\ b(3)\ =\ 9a\ +\ 3b\ =\ 6)
must also be a true statement.
Solve the two variable linear system for 
and 
to get the specific coefficients for .
John
My calculator said it, I believe it, that settles it
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
By solving for a and b using the two points provided.
1.
.
.
.
2.
Subtract eq. 1 from eq. 2,
Then from eq. 1,
.
.
.
.
.
.
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