Using translation concepts, the matching pairs are given as follows:
- Vertical stretch of 4: 1.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a vertical compression by a factor of a of a function f(x) is:
g(x) = 1/a f(x).
In this problem, one example is function 4.
The rule for a vertical shift up a units of a function f(x) is:
g(x) = f(x) + a.
In this problem, one example is function 6.
The rule for a shift left a units of a function f(x) is:
g(x) = f(x + a).
In this problem, the example is function 3.
The rule for a shift right a units of a function f(x) is:
g(x) = f(x - a).
In this problem, the example is function 2.
The rule for a vertical shift down a units of a function f(x) is:
g(x) = f(x) - a.
In this problem, one example is function 5.
The rule for a vertical stretch by a factor of a of a function f(x) is:
g(x) = a * f(x).
In this problem, one example is function 1.
More can be learned about translation concepts at brainly.com/question/28416763
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