document.write( "Question 367166: Hi there, I have to find the quadratic equation that has vertex (-1, -3) and y-intercept (0, 1).\r
\n" ); document.write( "\n" ); document.write( "I plugged the vertex into the vertex form and got\r
\n" ); document.write( "\n" ); document.write( " $\"a%28x+%2B+1%29%5E2+-+3\"$ \r
\n" ); document.write( "\n" ); document.write( "Then I plugged in the given y-intercept and solved for a\r
\n" ); document.write( "\n" ); document.write( " $\"-1+=+a%280+%2B+1%29%5E2+-+3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a+=+2\"$ \r
\n" ); document.write( "\n" ); document.write( "So my vertex form will be $\"2%28x%2B1%29%5E2-3\"$ . Converting this to general form...\r
\n" ); document.write( "\n" ); document.write( " $\"2%28x%5E2+%2B+2x+%2B+1%29+-+3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%282x%5E2+%2B+4x+%2B+2%29+-+3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2+%2B+4x+-+1\"$ \r
\n" ); document.write( "\n" ); document.write( "Did I do this correctly? I've never seen a problem like this and couldn't find an example in the book. Thanks for your time and have a good day :) \n" ); document.write( "

Algebra.Com's Answer #261769 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi, 
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document.write( "Proceeded exactly as one should.
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document.write( "If you have used the correct value for the y-intercept. all's well.
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document.write( "**Listed is a y-intercept (0,1)
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document.write( "a = 4
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document.write( "vertex form
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document.write( "y = 4*(x+1)^2 - 3
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document.write( "general form
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document.write( "4x^2 + 8x + 1 \n" );
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