document.write( "Question 362938: Create the quadratic equation in the form y=ax^2+bx+c using the point (0,4)as one point and the point (4,-5) as the vertex. Enter the a,b,c values as common factors in reduced form. \n" ); document.write( "

Algebra.Com's Answer #258717 by Fombitz(32388) $\"\"$ $\"About$

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Start with the vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ where (h,k) is the vertex.
\n" ); document.write( " $\"y=a%28x-4%29%5E2-5\"$
\n" ); document.write( "Now use the point (0,4) to solve for $\"a\"$ .
\n" ); document.write( " $\"4=a%280-4%29%5E2-5\"$
\n" ); document.write( " $\"16a=9\"$
\n" ); document.write( " $\"a=9%2F16\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y=%289%2F16%29%28x-4%29%5E2-5\"$
\n" ); document.write( " $\"y=%289%2F16%29%28x%5E2-8x%2B16%29-5\"$
\n" ); document.write( " $\"y=%289%2F16%29x%5E2-%289%2F8%29x%2B9-5\"$
\n" ); document.write( " $\"highlight%28y=%289%2F16%29x%5E2-%289%2F8%29x%2B4%29\"$
\n" ); document.write( " \n" ); document.write( "

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