SOLUTION: what is a rule for the function repersented by (o,-2),(1,-1),(2,2),(3,7)? Explain your reasoning.

Algebra ->  Functions -> SOLUTION: what is a rule for the function repersented by (o,-2),(1,-1),(2,2),(3,7)? Explain your reasoning.      Log On


   

Question 530490: what is a rule for the function repersented by (o,-2),(1,-1),(2,2),(3,7)? Explain your reasoning.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is a rule for the function represented by
(0,-2),(1,-1),(2,2),(3,7)?
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y = x^2-2
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's not a straight line, so I'ii assume it's a
2nd degree equation in the form
+y+=+ax%5E2+%2B+bx+%2B+c+
(0,-2)
+-2+=+0+%2B+0+%2B+c+
+c+=+-2+
(1,-1)
+-1+=+a+%2B+b+-2+
+a+%2B+b+=+1+
+b+=+1+-+a+
(2,2)
+2+=+4a+%2B+2b+-+2+
+4a+%2B+2b+=+4+
+2a+%2B+b+=+2+
by substitution:
+2a+%2B+1+-+a+=+2+
+a+=+1+
+b+=+0+
The equation so far is
+y+=+x%5E2+-+2+ answer
Does it go through (3,7) ?
+7+=+9+-+2+ yes