Step-by-step explanation:
4x hope this explanation will help
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
Read more on translation here: brainly.com/question/20720324
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Answer:
The general relation about a geoemtric sequence is
For the first sequence, we have
Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.
![r^{2}=\frac{147}{3}\\ r=\sqrt[2]{49}\\r=7](https://tex.z-dn.net/?f=r%5E%7B2%7D%3D%5Cfrac%7B147%7D%7B3%7D%5C%5C%20%20r%3D%5Csqrt%5B2%5D%7B49%7D%5C%5Cr%3D7)
Now, we replace this value to find the other one
Therefore, the explicit rule function is
Now, we use the same process for the second sequence.
The second equation is
Now, we solve the following expression
We solve for 
Then
Therefore, the function that models the second sequence is
Notice that 
is the dependent variable and 
is the independent variable.
