document.write( "Question 1026200: Use the information provided to write the vertex form equation of each parabola.
\n" ); document.write( "Vertex: (4, -4) Focus: (4, -63/16) \n" ); document.write( "

Algebra.Com's Answer #641467 by josgarithmetic(39618) $\"\"$ $\"About$

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Analyzing the arrangement of the two given points, you know that the parabola has vertical symmetry axis and opens downward. You can find the value p for how far the vertex is from the focus. \r
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\n" ); document.write( "\n" ); document.write( "The form you can use, initially, is $\"%28x-h%29%5E2=4p%28y-k%29\"$ , and you are given the vertex, so you know that you have $\"highlight_green%28%28x-4%29%5E2=4p%28y%2B4%29%29\"$ , and you are almost finished.\r
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\n" ); document.write( "\n" ); document.write( "Your value for p will need to be like this until evaluated or computed:
\n" ); document.write( " $\"p=-abs%28-4-%28-63%2F16%29%29\"$ , the reason for forcing it to be negative is because your parabola opens DOWNWARD and has a maximum vertex point.\r
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\n" ); document.write( "\n" ); document.write( "You can adjust the equation into standard form from that.\r
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\n" ); document.write( "\n" ); document.write( "Study this helpful video: Equation for a parabola, vertex NOT at origin, given direrctrix and focus \n" ); document.write( "

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