document.write( "Question 1124651: Find the quadratic equation function that has the given vertex and goes through the given point. Vertex(1,3), point (-2,0) f(x) = \n" ); document.write( "
Algebra.Com's Answer #741007 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Find the quadratic equation function that has the given vertex and goes through the given point. Vertex(1,3), point (-2,0) f(x) =
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Since the vertex of and a point on the parabola are given, we use the vertex form of a parabolic equation, or \"matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+a%28x+-+h%29%5E2+%2B+k%29\", with (h, k) being the vertex, and the point (x, y)
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document.write( "\"matrix%281%2C3%2C+0%2C+%22=%22%2C+a%28-+2+-+1%29%5E2+%2B+3%29\" ----- Substituting y for f(x), and then 0 for y, (1, 3) for (h, k), and (- 2, 0) for (x, y) in order to determine \"a.\"
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document.write( "\"matrix%281%2C3%2C+0%2C+%22=%22%2C+a%28-+3%29%5E2+%2B+3%29\"
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document.write( "0 = 9a + 3
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document.write( "- 3 = 9a_____\"matrix%281%2C5%2C+a%2C+%22=%22%2C+-+3%2F9%2C+or%2C+-+1%2F3%29\"
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document.write( "\"matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+a%28x+-+h%29%5E2+%2B+k%29\"
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document.write( " ------- Substituting \"-+1%2F3\" for \"a,\" and (1, 3) for (h, k) \n" );
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