SOLUTION: Write an equation in the form of y = b^(x+k)passing through points (-2,3), (-1,1)

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Question 1152169: Write an equation in the form of y = b^(x+k)passing through points (-2,3), (-1,1)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+b%5E%28+x+%2B+k+%29+
(-2,3)
(-1,1)
--------------------------
(1) +3+=+b%5E%28+-2+%2B+k+%29+
(2) +1+=+b%5E%28+-1+%2B+k+%29+
--------------------------
(1) +log%28+3+%29+=+%28+-2+%2B+k+%29%2Alog%28+b+%29+
(1) +log%28+b+%29+=+log%28+3+%29+%2F+%28+-2+%2B+k+%29+
--------------------------------------------
(2) +log%281%29+=+%28+-1+%2B+k+%29%2Alog%28+b+%29+
(2) +0+=+%28+-1+%2B+1+%29%2Alog%28+b+%29+
+k+=+1+
-----------------
(1) +3+=+b%5E%28+-2+%2B+k+%29+
(1) +3+=+b%5E%28+-2+%2B+1+%29+
(1) +3+=+b%5E%28+-1+%29+
(1) +b+=+1%2F3+
----------------------
The equation is:
+y+=+b%5E%28+x+%2B+k+%29+
+y+=+%281%2F3%29%5E%28+x+%2B+1+%29+
-----------------------------
check:
( -2,3 )
+3+=+%281%2F3%29%5E%28+-2+%2B+1+%29+
+3+=+%28+1%2F3+%29%5E%28-1%29+
----------------------------
( -1,1 )
+1+=+%281%2F3%29%5E%28+-1+%2B+1+%29+
+1+=+%28+1%2F3+%29%5E0+
+1+=+1+
OK