SOLUTION: what is the quadratic equation in the form {{{y=a(x-h)^2+k}}} when the parabola: opens up, compressed by a factor of 2, with a vertex at (-1,3)

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Question 923563: what is the quadratic equation in the form y=a%28x-h%29%5E2%2Bk when the parabola:
opens up, compressed by a factor of 2, with a vertex at (-1,3)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Vertex at ( -1,3 )
+y+=+a%2A%28+x-%28-1%29+%29%5E2+%2B+3+
+y+=+a%2A%28+x%2B1+%29%5E2+%2B+3+
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Compressed by a factor of +2+ would be:
+y+=+2a%2A%28+x%2B1+%29%5E2+%2B+3+
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check:
Suppose +a+=+5+
Original equation:
(1) +y+=+5%2A%28+x%2B1+%29%5E2+%2B+3+
Compressed equation:
(2) +y+=+10%2A%28+x%2B1+%29%5E2+%2B+3+
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Here are plots of the equations: