Answer:
c. ![\left[\begin{array}{ccc}3&-8&-2\\0&5&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-8%26-2%5C%5C0%265%266%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given:
Vertex of triangle:
A(6,-2)
B(-5,3)
C(1,4)
The triangle ABC is translated 3 units left and 2 units up.
To find the co-ordinates of the vertex of the translated triangle in matrix form.
Solution:
Transformation sequence occurring can be given as:
3 units left shift would decrease the x-coordinate by 3 units.
2 units upwards shift would increase y-coordinate by 2 units.
So, we have
![(x,y)\rightarrow (x-3,y+2)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x-3%2Cy%2B2%29)
The Image points will be given as:
![A(6,-2)\rightarrow A'(6-3,-2+2)=A'(3,0)](https://tex.z-dn.net/?f=A%286%2C-2%29%5Crightarrow%20A%27%286-3%2C-2%2B2%29%3DA%27%283%2C0%29)
![B(-5,3)\rightarrow B'(-5-3,3+2)=B'(-8,5)](https://tex.z-dn.net/?f=B%28-5%2C3%29%5Crightarrow%20B%27%28-5-3%2C3%2B2%29%3DB%27%28-8%2C5%29)
![C(1,4)\rightarrow C'(1-3,4+2)=C'(-2,6)](https://tex.z-dn.net/?f=C%281%2C4%29%5Crightarrow%20C%27%281-3%2C4%2B2%29%3DC%27%28-2%2C6%29)
The image points in matrix form can be given as:
![\left[\begin{array}{ccc}A'&B'&C'\\x_1&x_2&x_3\\y_1&y_2&y_3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7DA%27%26B%27%26C%27%5C%5Cx_1%26x_2%26x_3%5C%5Cy_1%26y_2%26y_3%5Cend%7Barray%7D%5Cright%5D)
Plugging in the points the matrix can be written as:
(Answer)
This would be known as a multiple regression model. As you can probably guess, "multiple" means "many" which is how you can remember it.
The answer is choice B.
Answer:
3/2
Step-by-step explanation:
I think it is ............
Answer:
![y=|3x-3|-5](https://tex.z-dn.net/?f=y%3D%7C3x-3%7C-5)
Step-by-step explanation:
Notice that we are requested to perform a horizontal shift of on unit to the right. Recall that a horizontal shift of one unit to the right involves the operation of subtracting from the variable "x" one unit.
Therefore, this implies the following mathematical transformation to the variable "x":
![y=|3(x-1)|-5\\y=|3x-3|-5](https://tex.z-dn.net/?f=y%3D%7C3%28x-1%29%7C-5%5C%5Cy%3D%7C3x-3%7C-5)
where we simply completed distributive property to get rid of the parenthesis inside the absolute value.