Transformation of Functions why and real life
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I know how to use transformations of functions. The question is why do we need to learn transformations of functions? Also, how do we use them in real life, so as a real life application.
Transformations such as graphing y =(x-2)^2 + 1 using the graph of y =x^2.
graphing-functions
asked Mar 27 '17 at 2:12
user60010user60010
93
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add a comment |
$begingroup$
I know how to use transformations of functions. The question is why do we need to learn transformations of functions? Also, how do we use them in real life, so as a real life application.
Transformations such as graphing y =(x-2)^2 + 1 using the graph of y =x^2.
graphing-functions
asked Mar 27 '17 at 2:12
user60010user60010
93
$endgroup$
add a comment |
$begingroup$
I know how to use transformations of functions. The question is why do we need to learn transformations of functions? Also, how do we use them in real life, so as a real life application.
Transformations such as graphing y =(x-2)^2 + 1 using the graph of y =x^2.
graphing-functions
asked Mar 27 '17 at 2:12
user60010user60010
93
$endgroup$
I know how to use transformations of functions. The question is why do we need to learn transformations of functions? Also, how do we use them in real life, so as a real life application.
Transformations such as graphing y =(x-2)^2 + 1 using the graph of y =x^2.
graphing-functions
graphing-functions
asked Mar 27 '17 at 2:12
user60010user60010
93
asked Mar 27 '17 at 2:12
user60010user60010
93
edited Mar 27 '17 at 3:16
user60010
asked Mar 27 '17 at 2:12
user60010user60010
93
asked Mar 27 '17 at 2:12
user60010user60010
93
asked Mar 27 '17 at 2:12
user60010user60010
93
93
add a comment |
add a comment |
2 Answers
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I'm assuming a transformation of a function is like taking $f(x) = x^2$ as a base and then considering, for example $f(x) = ax^2 + c$. One example where this comes in handy to understand intuitively, that comes up in my job all the time, is in statistical modeling. Basically, when you want to fit a set of known data points to a function, it helps to understand how different transformations affect the output of the function, and how to interpret them.
answered Mar 27 '17 at 2:25
user2697520user2697520
464
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add a comment |
$begingroup$
Transforming the graph can also be used "backwards" in the case of linear transformations, to keep the graph in place and shift/scale the axes, instead. For example (courtesy wikipedia), this is what allows the following chart to display both Celsius (bottom/left) and Fahrenheit (top/right) degrees.
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
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2 Answers
2
active
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2 Answers
2
active
oldest
votes
active
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active
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$begingroup$
I'm assuming a transformation of a function is like taking $f(x) = x^2$ as a base and then considering, for example $f(x) = ax^2 + c$. One example where this comes in handy to understand intuitively, that comes up in my job all the time, is in statistical modeling. Basically, when you want to fit a set of known data points to a function, it helps to understand how different transformations affect the output of the function, and how to interpret them.
answered Mar 27 '17 at 2:25
user2697520user2697520
464
$endgroup$
add a comment |
$begingroup$
I'm assuming a transformation of a function is like taking $f(x) = x^2$ as a base and then considering, for example $f(x) = ax^2 + c$. One example where this comes in handy to understand intuitively, that comes up in my job all the time, is in statistical modeling. Basically, when you want to fit a set of known data points to a function, it helps to understand how different transformations affect the output of the function, and how to interpret them.
answered Mar 27 '17 at 2:25
user2697520user2697520
464
$endgroup$
add a comment |
$begingroup$
I'm assuming a transformation of a function is like taking $f(x) = x^2$ as a base and then considering, for example $f(x) = ax^2 + c$. One example where this comes in handy to understand intuitively, that comes up in my job all the time, is in statistical modeling. Basically, when you want to fit a set of known data points to a function, it helps to understand how different transformations affect the output of the function, and how to interpret them.
answered Mar 27 '17 at 2:25
user2697520user2697520
464
$endgroup$
I'm assuming a transformation of a function is like taking $f(x) = x^2$ as a base and then considering, for example $f(x) = ax^2 + c$. One example where this comes in handy to understand intuitively, that comes up in my job all the time, is in statistical modeling. Basically, when you want to fit a set of known data points to a function, it helps to understand how different transformations affect the output of the function, and how to interpret them.
answered Mar 27 '17 at 2:25
user2697520user2697520
464
answered Mar 27 '17 at 2:25
user2697520user2697520
464
answered Mar 27 '17 at 2:25
user2697520user2697520
464
answered Mar 27 '17 at 2:25
user2697520user2697520
464
464
add a comment |
add a comment |
$begingroup$
Transforming the graph can also be used "backwards" in the case of linear transformations, to keep the graph in place and shift/scale the axes, instead. For example (courtesy wikipedia), this is what allows the following chart to display both Celsius (bottom/left) and Fahrenheit (top/right) degrees.
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
$endgroup$
add a comment |
$begingroup$
Transforming the graph can also be used "backwards" in the case of linear transformations, to keep the graph in place and shift/scale the axes, instead. For example (courtesy wikipedia), this is what allows the following chart to display both Celsius (bottom/left) and Fahrenheit (top/right) degrees.
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
$endgroup$
add a comment |
$begingroup$
Transforming the graph can also be used "backwards" in the case of linear transformations, to keep the graph in place and shift/scale the axes, instead. For example (courtesy wikipedia), this is what allows the following chart to display both Celsius (bottom/left) and Fahrenheit (top/right) degrees.
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
$endgroup$
Transforming the graph can also be used "backwards" in the case of linear transformations, to keep the graph in place and shift/scale the axes, instead. For example (courtesy wikipedia), this is what allows the following chart to display both Celsius (bottom/left) and Fahrenheit (top/right) degrees.
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
edited Mar 27 '17 at 4:40
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
answered Mar 27 '17 at 3:58
dxivdxiv
57.8k648101
57.8k648101
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