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.
How to apply translations on a given function
Rigid transformations are transformation such that the Euclidean distance of every point of a function is conserved. Translations are a kind of rigid transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈ [tex]\mathbb {R}[/tex] (1)
Where the translation goes rightwards for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈ [tex]\mathbb {R}[/tex] (2)
Where the translation goes upwards 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: https://brainly.com/question/17485121
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