document.write( "Question 1001381: Write and equation in standard form, factores form, and vertex form for a parabola with a vertex of (6,-15.2)\r
\n" ); document.write( "\n" ); document.write( "x-intercepts: (2,0) and (10,0)
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Algebra.Com's Answer #618598 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
Make a plan for what to do. One possible plan could be this:\r
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\n" ); document.write( "\n" ); document.write( "(1) Use factored form according to the x-intercepts but keep the constant factor, \"a\", as variable.
\n" ); document.write( "(2) Solve the equation for the factor \"a\", and substitute the vertex coordinates to find the value of \"a\".
\n" ); document.write( "(3) Express the completed equation in factored form.
\n" ); document.write( "(4) Write in standard form according to the known vertex (already given) and now known factor, \"a\". Understand, STANDARD FORM is the same as VERTEX FORM.\r
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\n" ); document.write( "\n" ); document.write( "You could instead simply do this, for a different plan:
\n" ); document.write( "\"y=a%28x-6%29%5E2-15.2\"
\n" ); document.write( "and then
\n" ); document.write( "\"a=%28y%2B15.2%29%2F%28x-6%29%5E2\"
\n" ); document.write( "use either of the x-intercepts
\n" ); document.write( "\"a=15.2%2F%2810-6%29%5E2\"
\n" ); document.write( "\"a=15.2%2F16\"
\n" ); document.write( "\"a=0.95\"
\n" ); document.write( "and you have the standard form equation as \"y=%280.95%29%28x-6%29%5E2-15.2\". Getting factored form from this may be more difficult than using the plan described first, above.
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