What is the common difference between the elements of the arithmetic sequence below?
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According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈ (1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈ (2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
To learn more on translations: brainly.com/question/17485121
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Amount Financed(P) = $ 128,000
Time = 15 year
Rate of interest= 5.05%
Amount after 15 years translates to,
Rose and Andrew has taken four points to lower their rate to 4.81% .
Amount after 15 years translates to, if rate of interest is 4.83 %
Cost of four points = 268,009.890 - 259,713.0404
= $8296.8496