document.write( "Question 118943: A quadratic function has a vertex at (-3,4) and a y-intercept at 1. What is the vertical stretch factor ? I'm guessing 1/3 or 3 but I'm not sure :( Please help me :) \n" ); document.write( "

Algebra.Com's Answer #87042 by MathLover1(20849) $\"\"$ $\"About$

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given:\r
\n" ); document.write( "\n" ); document.write( "vertex at ( $\"-3\"$ , $\"4\"$ )..=> $\"h=-3\"$ and $\"k=4\"$ \r
\n" ); document.write( "\n" ); document.write( "y-intercept at $\"y=1\"$ \r
\n" ); document.write( "\n" ); document.write( "we will need to use this formula to find $\"a\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"h=+-b%2F2a\"$ }\r
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\n" ); document.write( "\n" ); document.write( "First use vertex form to find $\"b\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+a%28x-h%29%5E2+%2B+k\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1=+a%28x-%28-3%29%29%5E2+%2B+4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1-+4+=+a%28x+%2B3%29%5E2+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-+3+=+a+%28x%5E2+%2B6x++%2B9%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a+=+%28x%5E2+%2B6x++%2B9%29%2F%28-3%29+\"$
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\n" ); document.write( " $\"a+=+%281%2F3%29x%5E2+%96+2x++-3\"$ ЕЕЕЕЕЕЕЕ $\"b=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now use the formula $\"h=+-b%2F2a\"$ to find a:\r
\n" ); document.write( "\n" ); document.write( " $\"h=+-b%2F2a\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2a=+-b%2Fh\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=+-b%2F%282h%29\"$
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " $\"a=+-b%2F%282%28-3%29%29\"$
\n" ); document.write( " $\"a=+-%28-2%29%2F%282%28-3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=+2%2F-6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a=+-%281%2F3%29\"$ ЕЕЕЕЕ the stretch/compression factor\r
\n" ); document.write( "\n" ); document.write( "Here is the graph:\r
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Solved by pluggable solver: Completing the Square to Get a Quadratic into Vertex Form

\n" ); document.write( " Error: the leading coefficient \"a\" cannot be equal to zero.
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