Algebra.Com's Answer #834801 by math_tutor2020(3817)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "Looks good so far.
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document.write( "I appreciate you showing your work.\r
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document.write( "The -6/4 can be reduced to -3/2.\r
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document.write( "This means the vertex form is
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document.write( "where
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document.write( "a = -3/2
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document.write( "h = 1
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document.write( "k = 2\r
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document.write( "Let's expand things out (using the FOIL rule) and combine like terms
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document.write( " \r
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document.write( " FOIL rule\r
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document.write( " Distribute\r
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document.write( "The equation is now in general form y = ax^2+bx+c, where,
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document.write( "a = -3/2
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document.write( "b = 3
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document.write( "c = 1/2\r
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document.write( "Check:
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document.write( "Plugging x = 1 should lead to y = 2
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document.write( "Therefore, (1,2) is on the parabola.\r
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document.write( "Plugging x = 3 should lead to y = -4
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document.write( "That confirms (3,-4) is also on the parabola.
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document.write( "Graph:
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document.write( "Desmos and GeoGebra are two graphing options I recommend.\r
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document.write( "Here is the link to the interactive Desmos graph.
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document.write( "https://www.desmos.com/calculator/vz0x6inti1
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document.write( "Next to each equation (on the left side panel) are red and blue buttons. Click each of those to turn off/on the equation curve.
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document.write( "This will help illustrate the two curves occupy the same exact space. They pass through the same set of points.
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document.write( "This is visual confirmation that is the same as \r
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document.write( "Side note: The value of a = -3/2 is negative, which means the parabola opens downward.
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