document.write( "Question 873182: Form the quadratic equation that has the roots -2, 1 and its y-intercept is 3. Show your work. \n" ); document.write( "

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Q:
\n" ); document.write( "Form the quadratic equation that has the roots -2, 1 and its y-intercept is 3. Show your work.
\n" ); document.write( "A:
\n" ); document.write( "The quadratic function is
\n" ); document.write( "y = a(x + 2)(x - 1) , where a ≠ 0
\n" ); document.write( "Since the y-intercept is 3, then when x = 0
\n" ); document.write( "y = a(0 + 2)(0 - 1) = -2a = 3
\n" ); document.write( "a = -3/2
\n" ); document.write( "Answer: $\"highlight%28y+=+%28-3%2F2%29%28x+%2B+2%29%28x+-+1%29%29\"$ or
\n" ); document.write( " $\"highlight%28y+=+-1.5x%5E2+-+1.5x+%2B+3%29\"$ \n" ); document.write( "

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