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>

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 ∈ $\mathbb {R}$ (1)

Where the translation goes rightwards for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ $\mathbb {R}$ (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: brainly.com/question/17485121

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2 years ago

Real numbers worksheet Help please and ty

Rina8888 [55]

Answer:

1. 30 → real, rational, integer, whole number, natural number

2. •11 → real, irrational

3. 5 ⁴/7 → real, rational, integer

4. √21 → real, irrational

5. 0 → real, rational, integer, whole, natural

6. -√9 → real, rational, integer, whole

7. 6/3 → real, rational, integer, whole, natural

8. π → real, irrational

9. 5⅔ → real, rational, integer

Step-by-step explanation:

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3 years ago