document.write( "Question 169949: This is a word problem on a worksheet that I've been given.\r
\n" ); document.write( "\n" ); document.write( "Katy likes to catch butterflies. The equation b = -2(x-4)^2 + 25 models this habit, where b is the number of butterflies caught for the hour and x is the number of hours after she started catching. After how many hours will Katy catch the maximum amount?\r
\n" ); document.write( "\n" ); document.write( "I am stumped on this question. I don't even know where to start...
\n" ); document.write( "Please help, thanks.\r
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\n" ); document.write( "\n" ); document.write( "I also have some questions on a form of quadratic function. I've only done quadratic functions that are in the form y= ax^2 + bx + c. So I'm not quite sure on these 3 multiple choice questions.\r
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\n" ); document.write( "\n" ); document.write( "Here is the information:\r
\n" ); document.write( "\n" ); document.write( "One form of a quadratic function is f(x) = a(x-b)^2 + c.\r
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\n" ); document.write( "\n" ); document.write( "Here are the questions:\r
\n" ); document.write( "\n" ); document.write( "1. If you wanted to shift the graph of the function up, what would you do?
\n" ); document.write( "A. increase a
\n" ); document.write( "B. decrease b
\n" ); document.write( "C. increase c
\n" ); document.write( "D. decrease a\r
\n" ); document.write( "\n" ); document.write( "2. If you wanted to shift the graph of the function left what would you do?
\n" ); document.write( "A. increase b
\n" ); document.write( "B. decrease b
\n" ); document.write( "C. increase c
\n" ); document.write( "D. decrease a\r
\n" ); document.write( "\n" ); document.write( "3. If you wanted to make the parabola wider, what would you do?
\n" ); document.write( "A. increase a
\n" ); document.write( "B. decrease b
\n" ); document.write( "C. increase c
\n" ); document.write( "D. decrease a\r
\n" ); document.write( "\n" ); document.write( "***Note: \r
\n" ); document.write( "\n" ); document.write( "For question 1 I chose letter c.
\n" ); document.write( "For question 2 I chose letter a.
\n" ); document.write( "For question 3 I chose letter d.
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Algebra.Com's Answer #125410 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
This is a word problem on a worksheet that I've been given.
\n" ); document.write( "Katy likes to catch butterflies. The equation b = -2(x-4)^2 + 25 models this habit, where b is the number of butterflies caught for the hour and x is the number of hours after she started catching. After how many hours will Katy catch the maximum amount?
\n" ); document.write( "I am stumped on this question. I don't even know where to start...
\n" ); document.write( "Please help, thanks.
\n" ); document.write( "---
\n" ); document.write( "Your equation shows the vertex form of the quadratic. When x = 4, b=25
\n" ); document.write( "and that is the vertex of the prabola which opens downward from that point.
\n" ); document.write( "The maximum b-value occurs when x = 4
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\n" ); document.write( "\n" ); document.write( "I also have some questions on a form of quadratic function. I've only done quadratic functions that are in the form y= ax^2 + bx + c. So I'm not quite sure on these 3 multiple choice questions. \r
\n" ); document.write( "\n" ); document.write( "Here is the information:
\n" ); document.write( "One form of a quadratic function is f(x) = a(x-b)^2 + c. \r
\n" ); document.write( "\n" ); document.write( "Here are the questions:
\n" ); document.write( "1. If you wanted to shift the graph of the function up, what would you do?
\n" ); document.write( "A. increase a
\n" ); document.write( "B. decrease b
\n" ); document.write( "Ans: C. increase c
\n" ); document.write( "D. decrease a
\n" ); document.write( "--------------------------------
\n" ); document.write( "2. If you wanted to shift the graph of the function left what would you do?
\n" ); document.write( "A. increase b
\n" ); document.write( "Ans: B. decrease b
\n" ); document.write( "C. increase c
\n" ); document.write( "D. decrease a
\n" ); document.write( "--------------------------------
\n" ); document.write( "3. If you wanted to make the parabola wider, what would you do?
\n" ); document.write( "Ans: A. increase a
\n" ); document.write( "B. decrease b
\n" ); document.write( "C. increase c
\n" ); document.write( "D. decrease a
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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