document.write( "Question 982003: A building has an entry the shape of a parabolic arch 22 ft high and 28 ft wide at the base as shown below.\r
\n" ); document.write( "\n" ); document.write( "Find an equation for the parabola if the vertex is put at the origin of the coordinate system. \r
\n" ); document.write( "\n" ); document.write( "Please Help!
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Algebra.Com's Answer #602905 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Vertex expected at (0,0).
\n" ); document.write( "\"y=a%28x-0%29%5E2%2B0\" using standard form.\r
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\n" ); document.write( "\n" ); document.write( "\"a%3C0\" because concave downward.\r
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\n" ); document.write( "\n" ); document.write( "Sketching the graph helps.
\n" ); document.write( "y value at origin is -22, and because 28 ft wide, 14 feet from line of symmetry to either end at the base. Two points on the parabola are (14,-22) and (-14,-22). You can find \"a\" using either of these points.
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\n" ); document.write( "Sketch the graph and think about that discussion.\r
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\n" ); document.write( "\n" ); document.write( "FIND COEFFICIENT a.
\n" ); document.write( "\"y=ax%5E2\"
\n" ); document.write( "\"a=y%2Fx%5E2\"
\n" ); document.write( "\"a=%28-22%29%2F%2814%29%5E2\"
\n" ); document.write( "\"a=-22%2F196\"
\n" ); document.write( "\"cross%28a=-11%2F108%29\", \"a=-11%2F98\"\r
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\n" ); document.write( "\n" ); document.write( "FINISHED FINDING EQUATION
\n" ); document.write( "\"cross%28y=-%2811%2F108%29x%5E2%29\", \"highlight%28y=-%2811%2F98%29x%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "graph(300,300,-16,16,2,-30,-11x^2/98)
\n" ); document.write( "Rendering tags are not included because the graph was shown incorrectly, no matter how the function was adjusted. Use a graphing tool to see the graph properly. Go to google search engine and just put y=-(11/98)*x^2 into the search text field and click ENTER or GO. You should see the graph correctly.
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