document.write( "Question 6650: Dear Sir/Madam,
\n" ); document.write( "I am confronted with the following problem:
\n" ); document.write( "\"A tiger named Montecore has to leap 6 meters horizontally to jump over a small ravine. Imagine the tiger begins his jump at the origin (0,0). The tiger reaches a maximum height of 2 meters above the line that joins the points where he jumps and lands (i.e. the x-axis). Assume Montecore's leap follows a parabolic path. Find the equation of the tiger.\"\r
\n" ); document.write( "\n" ); document.write( "I would assume that the answer is : \"+y+=+a%28x-3%29%5E2+%2B+2+\". 'a' will be negative, as the parabola is reflected across the x-axis, but how do you figure out the value of 'a'?
\n" ); document.write( "Thanks in advance.
\n" ); document.write( "Regards,
\n" ); document.write( "-Mike \n" ); document.write( "
Algebra.Com's Answer #3645 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
great job, both in typing equation as well as with your solution. You need to find a to make sure that y=0 at the origin (x=0). \r
\n" ); document.write( "\n" ); document.write( "\"a%2A%28x-3%29%5E2%2B2+=+0\" where x = 0\r
\n" ); document.write( "\n" ); document.write( "\"a%2A%280-3%29%5E2%2B2+=+0\"\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: a=-0.222222222222222.
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  • Graphical form: Equation \"a%2A%280-3%29%5E2%2B2=0\" was fully solved.
  • Text form: a*(0-3)^2+2=0 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+a%2A%280-3%29%5E2%2B2=0+%29\"
    For tutors: simplify_cartoon( a*(0-3)^2+2=0 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"a%2A%28highlight_red%28+0+%29-highlight_red%28+3+%29%29%5E2%2B2=0\".
Added fractions or integers together
It becomes \"a%2A%28highlight_green%28+-3+%29%29%5E2%2B2=0\".
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Look at \"a%2Ahighlight_red%28+%28-3%29+%29%5Ehighlight_red%28+2+%29%2B2=0\".
Replace constants in factor: \"highlight_red%28+%28-3%29+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+9+%29\"
It becomes \"a%2Ahighlight_green%28+9+%29%2B2=0\".
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Look at \"highlight_red%28+a%2A9%2B2+%29=0\".
Solved linear equation \"highlight_red%28+a%2A9%2B2=0+%29\" equivalent to 9*a+2 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: a=-0.222222222222222.

Universal Simplifier and Solver

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Done!
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