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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Area of rectangle = Length*width
A = 28 so 28 = 4 * height
height = 28/4 = 7
To solve this problem you must apply the proccedure shown below:
You have the following equation given in the problem above:
<span>-2(bx - 5) = 16
</span> When you solve for bx, you have:
<span>-2(bx - 5) = 16
-2bx-10=16
-2bx=26
bx=26/-2
bx=-13
When you solve for b, you obtain:
</span><span>-2(bx - 5) = 16
-2bx=26
b=-(26/2x)
When yoo solve for x:
</span>2bx=26
x=-(26/2b)<span>
</span>
False.
Replace x with 0 and solve:
2(0) + 3 = 0+ 3 = 3
3 is not greater than 13 so the answer is false.