SOLUTION: Find the quadratic function that includes each set of values. (1, 0), (2, 5), (4, 21)

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Question 953081: Find the quadratic function that includes each set of values.
(1, 0), (2, 5), (4, 21)

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
the general form is:

( 1,0 )

(1)
---------------------
( 2,5 )

(2)
----------------------
( 4,21 )

(3)
-------------------------
Subtract (1) from (2)
(2)
(1)
-----------------------

Multiply both sides by
and subtract this result from (3)


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


Plug this into (1)
(1)
also, from above:


Plug this into (1)
(1)
(1)
(1)
----------------



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



--------------------
Plug these results into:


----------------------
check:
( 4,21 )



You can check the other 2 points





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