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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Answer
Good question!
A. false. Even though 5 is usually greater than 2, in this case it is less because it is negative and positives are always greater than negatives.
B. true. Just like the last question, positives are always greater than negatives and even though 8 is usually greater than 3, in this case the 3 is a negative so it is less.
C. true. Think about which number is closer to the number line. When we are talking about negative numbers, the number closer to the number line is greater.
D. false. Same concept as the last question where -12 is closer to the number line than -12.5 so -12 is actually greater.
If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)
Answer:
7/6
Step-by-step explanation:
divide both the numerator and denominator by 8
Answer:
Growth when: b>1.
Decay when: 0<b<1.
Step-by-step explanation:
Any function in the form 
, where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.
if 0 < b < 1. It is an example of an exponential decay.
The general shape of an exponential with b > 1 is an example of exponential growth.
Hence,
An exponential function is expressed in the form 
The relation represents a growth when b >1 and a decay when 0<b<1.
