document.write( "Question 1072507: Hello! I need help with the following question.
\n" ); document.write( "Graph the following parabola:
\n" ); document.write( "(x-3)^2=8(y+5). I only know how to find the vertex ( 3,5) and p which is 2. But I do not know how to find the focus and the directrix.
\n" ); document.write( "Thank you!
\n" ); document.write( "

Algebra.Com's Answer #687431 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Hello! I need help with the following question.
\n" ); document.write( "Graph the following parabola:
\n" ); document.write( "(x-3)^2=8(y+5). I only know how to find the vertex ( 3,5) and p which is 2. But I do not know how to find the focus and the directrix.
\n" ); document.write( "Thank you!
\n" ); document.write( "
First of all, you have to determine whether the parabola has a vertical or horizontal axis.
\n" ); document.write( "This one has a vertical axis, so you compare the given equation to the standard-form equation, as follows:
\n" ); document.write( "\"%28x+-+3%29%5E2+=+8%28y+%2B+5%29\" ----- Given equation
\n" ); document.write( "\"%28x+-+h%29%5E2+=+4p%28y+-+k%29\" ----- Standard-form equation of a parabola with a vertical axis, with (h, k) being the vertex
\n" ); document.write( "You have the vertex, or (h, k) as (3, 5), but the vertex, or
\n" ); document.write( "As seen, 4p = 8, so \"matrix%281%2C7%2C+p%2C+%22=%22%2C+8%2F4%2C+or%2C+p%2C+%22=%22%2C+2%29\"
\n" ); document.write( "Focus:
\n" ); document.write( "Directrix: \n" ); document.write( "
\n" );