document.write( "Question 550954: write the equation of the parabola in vertex form: vertex (3,3) that goes through the point (-2,53). \n" ); document.write( "

Algebra.Com's Answer #359247 by Edwin McCravy(20055) $\"\"$ $\"About$

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write the equation of the parabola in vertex form: vertex (3,3) that goes through the point (-2,53).
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document.write( "The standard form of a parabola is\r
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document.write( "y = a(x - h)² + k   where the vertex is the point (h,k)\r
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document.write( "In this case (h,k) = (3,3),  so the above becomes\r
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document.write( "y = a(x - 3)² + 3\r
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document.write( "Since is contains the point (x,y) = (-2,53)\r
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document.write( "53 = a(-2 - 3)² + 3\r
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document.write( "53 = a(-5)² + 3\r
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document.write( "53 = a(25) + 3\r
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document.write( "53 = 25a + 3\r
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document.write( "50 = 25a\r
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document.write( "2 = a\r
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document.write( "Substitute 2 for a in\r
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document.write( "y = a(x - 3)² + 3\r
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document.write( "y = 2(x - 3)² + 3
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document.write( "That's the equation you were looking for.\r
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document.write( "The graph is\r
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