WILL GIVE BRAINLIEST!!!!!!! what's 1+1? ;)
1 answer:
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Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
To shift vertically n units, we can simply add n to our function. Hence:
So, a vertical shift of 5 units up implies that n=5. So:
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
Or:
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
Answer:
Maximum : 51
Minimum: 12
Median: 38
Lower quartile: 19
Upper quartile: 46
Step-by-step explanation:
To answer this question, we first order the data from largest to smallest:
46, 19, 38, 27, 12, 38, 51
12, 19, 27, 38, 38, 46, 51
It can be seen that the maximum value is:
51
The minimum value is
12
Let's call N the amount of data.
To calculate the quartiles we use the following formula:
So:
Where is the data number 2.
Q1 = 19
As the number of data is imapar, then, the median is the central data:
12, 19, 27, {38}, 38, 46, 51
Median = 38
Finally:
Where represents the data number 6