document.write( "Question 1167170: An athlete whose event is the shot put releases a shot whose path is shown by the graph to the right is released at an angle of 45°, its height, f(x), in feet, can be modeled by f(x)= -0.02x^2 + 1.0x + 5.6, where x is the shot's horizontal distance, in feet, from its point of release \r
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\n" ); document.write( "\n" ); document.write( "(I've tried using the quadratic formula to solve it but I cannot seem to get the decimal it wants.) \n" ); document.write( "
Algebra.Com's Answer #791772 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The quadratic formula has nothing to do with this problem.\r
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\n" ); document.write( "\n" ); document.write( "It is about finding the maximum of a quadratic function.\r
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document.write( "The maximum is where the VERTEX is.\r\n" );
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document.write( "The x-coordinate of the vertex is at  x = \"-b%2F%282a%29\",  where \"a\" is the coefficient at x^2 and \"b\" is the coefficient at x.\r\n" );
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document.write( "In your case,  a = -0.02,  b = 1.0,  so the x-coordinate of the vertex is\r\n" );
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document.write( "    x = \"-%281.0%2F%282%2A%28-0.02%29%29%29\" = \"1%2F0.04\" = 25.\r\n" );
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document.write( "Thus we just found the horizontal coordinate: the maximum will happen at x = 25 feet.\r\n" );
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document.write( "Now, to find the maximum height (y-coordinate), substitute x= 25 into the given formula for the height.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Finding minimum/maximum of quadratic functions\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "Post-solution note\r
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document.write( "    Wording in your problem is terrible ---- TOOOOOOOO many EXCESSIVE UNNECESSARY words.\r\n" );
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