SOLUTION: Find the vertex of the graph of the equation y = 3x^2 - 6x + 7.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find the vertex of the graph of the equation y = 3x^2 - 6x + 7.      Log On


   

Question 1023980: Find the vertex of the graph of the equation y = 3x^2 - 6x + 7.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex of the graph of the equation y = 3x^2 - 6x + 7.
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Vertex occurs when x = -b/(2a) = 6/(2*3) = 1
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f(1) = 3 - 6 + 7 = 4
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Vertex:: (1,4)
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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!
The formula is:
+x%5Bv%5D+=+-b%2F%282a%29+
+a+=+3+
+b+=+-6+
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+x%5Bv%5D+=+-%28-6%29+%2F+%28+2%2A3+%29+
+x%5Bv%5D+=+6%2F6+
+x%5Bv%5D+=+1+
Plug this result back into equation:
+y+=+3%2Ax%5E2+-+6x+%2B+7+
+y%5Bv%5D+=+3%2A1%5E2+-+6%2A1+%2B+7+
+y%5Bv%5D+=+3+-+6+%2B+7+
+y%5Bv%5D+=+4+
The vertex is at ( 1,4 )
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check:
Here's the plot:
+graph%28+400%2C+400%2C+-4%2C+4%2C+-4%2C+10%2C+3x%5E2+-+6x+%2B+7+%29+
Looks correct