Answer:
(4,4)
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
For each day number, Y means working, and N means off
Day
1 Y
2 Y
3 Y
4 N
5 N
6 N
7 N
8 Y
9 Y
10 Y
11 Y
12 N
13 N
14 N
15 Y
16 Y
17 Y
18 N
19 N
20 N
21 N
22 Y
23 Y
24 Y
25 Y
26 N
27 N
28 N
29 Y
30 Y
31 Y
32 N
33 N
34 N
35 N
36 Y
37 Y
38 Y
39 Y
40 N
41 N
42 N
43 Y
44 Y
45 Y
46 N
a. Today is day 1. 30 days from today is day 31.
She works on day 31, so she does work 30 days from today.
b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.
-2n + 6 is the answer to this question
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:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).