Introduction to study compression:-
In this article we are going to study about compression and its techniques. In graphing, a technique which is used to get smaller graph towards x axis or y axis is recognized as compression technique. Compression technique is use to compact the given graphical equation. Compression comes below the topic of transformations. A compression technique is of two types, they are Horizontal compression, Vertical compression.
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Study about compression types:-
Horizontal Compression:-
• Horizontal compression is one of the solidity technique uses to compress the graphical equation. In horizontal compression, the solidity is done towards y – axis.
• If the function is y = f (x), the horizontal stretching or compressing of the function is the function f (ax).
• If 0 < b < 1, the graph is stretched horizontally by a reason of a units.
• If b > 1, the graph is compression horizontally by a reason of “b” unit.
• If “b” is to be negative, the horizontal compression or stretch of the graph is done by a reflection of the graph across the y-axis. Horizontal compression techniques decrease the graph from its unique position.
Vertical Compression:-
• Vertical compression is one of the compression technique uses to compress the graphical equation. In vertical compression, the solidity is done towards x – axis.
• If the function is y = f (x), the vertical stretch or compressing of the occupation is the function f (ax).
• If 0 < b < 1, the graph is stretched vertically by “b” units.
• If b > 1, the graph is compressed vertically by “b” units.
• If “b” is to be negative, the vertical compression or stretch of the graph is done by a reflection of the graph across the x-axis. Vertical compression technique reduces the graph from its innovative position.
Understanding help with math word problems for free is always challenging for me but thanks to all math help websites to help me out.
Example problems about study compression:-
Study compression problem1:-
Write the graph of
f(x) = 3x ^2
With a vertical compression by a cause of 1/2
Solution:-
For the given function, f(x), draw the graph,
Take f(x) = y
y = 3x ^2
For the given function the graph will be a parabolic function,
y= 3x ^2/2
2y = 3x ^2
This graph is compressed by a cause of 1/2. The compression of original graph is done towards x – axis by a factor of 1/2.
Study compression problem2:-
Write the graph of
f(x) = 2x ^2
With a horizontal compression by a cause of 1/2
Solution:-
For the given function, f(x), draw the graph,
Take f(x) = y
y = 2x ^2
For the given function the graph will be a parabolic function,
y/2 = 2x ^2
y = 4x ^2
This graph is compressed by a cause of 1/2. The compression of original graph is done towards y – axis by a cause of 1/2.
In this article we are going to study about compression and its techniques. In graphing, a technique which is used to get smaller graph towards x axis or y axis is recognized as compression technique. Compression technique is use to compact the given graphical equation. Compression comes below the topic of transformations. A compression technique is of two types, they are Horizontal compression, Vertical compression.
I like to share this Find Equation of a Line with you all through my article.
Study about compression types:-
Horizontal Compression:-
• Horizontal compression is one of the solidity technique uses to compress the graphical equation. In horizontal compression, the solidity is done towards y – axis.
• If the function is y = f (x), the horizontal stretching or compressing of the function is the function f (ax).
• If 0 < b < 1, the graph is stretched horizontally by a reason of a units.
• If b > 1, the graph is compression horizontally by a reason of “b” unit.
• If “b” is to be negative, the horizontal compression or stretch of the graph is done by a reflection of the graph across the y-axis. Horizontal compression techniques decrease the graph from its unique position.
Vertical Compression:-
• Vertical compression is one of the compression technique uses to compress the graphical equation. In vertical compression, the solidity is done towards x – axis.
• If the function is y = f (x), the vertical stretch or compressing of the occupation is the function f (ax).
• If 0 < b < 1, the graph is stretched vertically by “b” units.
• If b > 1, the graph is compressed vertically by “b” units.
• If “b” is to be negative, the vertical compression or stretch of the graph is done by a reflection of the graph across the x-axis. Vertical compression technique reduces the graph from its innovative position.
Understanding help with math word problems for free is always challenging for me but thanks to all math help websites to help me out.
Example problems about study compression:-
Study compression problem1:-
Write the graph of
f(x) = 3x ^2
With a vertical compression by a cause of 1/2
Solution:-
For the given function, f(x), draw the graph,
Take f(x) = y
y = 3x ^2
For the given function the graph will be a parabolic function,
y= 3x ^2/2
2y = 3x ^2
This graph is compressed by a cause of 1/2. The compression of original graph is done towards x – axis by a factor of 1/2.
Study compression problem2:-
Write the graph of
f(x) = 2x ^2
With a horizontal compression by a cause of 1/2
Solution:-
For the given function, f(x), draw the graph,
Take f(x) = y
y = 2x ^2
For the given function the graph will be a parabolic function,
y/2 = 2x ^2
y = 4x ^2
This graph is compressed by a cause of 1/2. The compression of original graph is done towards y – axis by a cause of 1/2.
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