document.write( "Question 956636: The dimensions of the facade of the house, should be 7m wide and 4 ms high, it should be a parabola, use the origin of the parabola as one corner. Find the quadratic equation to that.
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\n" ); document.write( "3 points are (0,0), (3.5,4) and (7,0)
\n" ); document.write( "y = ax^2 + bx + c
\n" ); document.write( "At x = 0, y = 0 --> c = 0
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\n" ); document.write( "At x = 7, y = 0
\n" ); document.write( "49a + 7b = 0
\n" ); document.write( "7a + b = 0
\n" ); document.write( "b = -7a
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\n" ); document.write( "At x = 3.5, y = 4
\n" ); document.write( "12.25a + 3.5b = 4
\n" ); document.write( "Sub for b
\n" ); document.write( "12.25a - 24.5a = 4
\n" ); document.write( "-12.25a = 4
\n" ); document.write( "a = -16/49
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\n" ); document.write( "b = 16/7
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\n" ); document.write( "And then they got
\n" ); document.write( "y=16x^2/49+16x/7
\n" ); document.write( "I do not understand the process here, I am practicing for my exam and this on the practice exam, could someone please explain the process clearly to me? That would be greatly appreciated
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Algebra.Com's Answer #584482 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
(0,0)
\n" ); document.write( "\"0=0%2B0%2Bc\"
\n" ); document.write( "\"highlight%28c=0%29\"
\n" ); document.write( ".
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\n" ); document.write( "(7/2,4)
\n" ); document.write( "\"4=a%287%2F2%29%5E2%2Bb%287%2F2%29\"
\n" ); document.write( "\"4=%2849%2F4%29a%2B%287%2F2%29b\"
\n" ); document.write( "1.\"49a%2B14b=16\"
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\n" ); document.write( "(7,0)
\n" ); document.write( "\"0=a%287%29%5E2%2Bb%287%29\"
\n" ); document.write( "2.\"49a%2B7b=0\"
\n" ); document.write( "Subtract eq. 2 from eq. 1,
\n" ); document.write( "\"49a%2B14b-49a-7b=16-0\"
\n" ); document.write( "\"7b=16\"
\n" ); document.write( "\"highlight%28b=16%2F7%29\"
\n" ); document.write( "Then,
\n" ); document.write( "\"49a%2B7%2816%2F7%29=0\"
\n" ); document.write( "\"49a%2B16=0\"
\n" ); document.write( "\"49a=-16\"
\n" ); document.write( "\"highlight%28a=-%2816%2F49%29%29\"
\n" ); document.write( "So then,
\n" ); document.write( "\"y=-%2816%2F49%29x%5E2%2B%2816%2F7%29x\"\r
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