Answer:
We could start with the simpler function f(x) = IxI and construct the other function using transformations.
First, an horizontal translation of A units to the right is written as:
g(x) = f(x - A)
And an vertical translation of A units up, is written as:
g(x) = f(x) + A.
Where A is positive and this works for any function f(x).
Then in this case, if we start with:
f(x) = IxI and:
g(x) = Ix - 2I -3
Then:
First we do an horizontal translation of 2 units to the right.
g(x) = f(x - 2) = Ix - 2I
Then we do a vertical translation of -3 units up (or a translation of 3 units down)
g(x) = f(x - 2) - 3 = Ix - 2I - 3
Those two transformations are the ones that relate the graphs of g(x) and f(x)
Mmm, x is equals to -7....
Answer:
-11
Step-by-step explanation:
f(x)=2x-7
Let x = -2
f(-2)=2(-2)-7
= -4 -7
= -11
I think P= 34x+8And A= 60x+3
when given two points, you can find the slope of the line that passes through those points by using the slope formula
![\frac{y_{2}-y_{1} }{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
7. A(1,3), B(4,7)
![(x_{1},y_{1}) = (1,3)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29%20%3D%20%281%2C3%29)
![(x_{2},y_{2}) = (4,7)](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29%20%3D%20%284%2C7%29)
(the ordered pair you choose to use for x1,y1 could be the other ordered pair, it doesn't really matter)
![\frac{y_{2}-y_{1} }{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
plug in
![slope = \frac{(7)-(3)}{(4)-(1)}=\frac{4}{3}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B%287%29-%283%29%7D%7B%284%29-%281%29%7D%3D%5Cfrac%7B4%7D%7B3%7D)
8. C(3,5), D(-2,6)
![(x_{1},y_{1}) = (3,5)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29%20%3D%20%283%2C5%29)
![(x_{2},y_{2}) = (-2,6)](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29%20%3D%20%28-2%2C6%29)
plug in
![slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{(6)-(5)}{(-2)-(3)}=\frac{1}{-5}=\frac{-1}{5}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%3D%5Cfrac%7B%286%29-%285%29%7D%7B%28-2%29-%283%29%7D%3D%5Cfrac%7B1%7D%7B-5%7D%3D%5Cfrac%7B-1%7D%7B5%7D)
9. E(-4,0), F(5,5)
![(x_{1},y_{1}) = (-4,0)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29%20%3D%20%28-4%2C0%29)
![(x_{2},y_{2}) = (5,5)](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29%20%3D%20%285%2C5%29)
plug in
![slope = \frac{y_{1}-y_{1} }{x_{2}-x_{1}} =\frac{(5)-(0)}{(5)-(-4)}=\frac{5}{9}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_%7B1%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%3D%5Cfrac%7B%285%29-%280%29%7D%7B%285%29-%28-4%29%7D%3D%5Cfrac%7B5%7D%7B9%7D)
10. K(-4,4), L(-5,4)
![(x_{1},y_{1}) = (-4,4)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29%20%3D%20%28-4%2C4%29)
![(x_{2},y_{2}) = (-5,4)](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29%20%3D%20%28-5%2C4%29)
plug in
![slope = \frac{y_{1}-y_{1} }{x_{2}-x_{1}} =\frac{(4)-(4)}{(-5)-(-4)}=\frac{0}{-5+4}=\frac{0}{-1}=0](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_%7B1%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%3D%5Cfrac%7B%284%29-%284%29%7D%7B%28-5%29-%28-4%29%7D%3D%5Cfrac%7B0%7D%7B-5%2B4%7D%3D%5Cfrac%7B0%7D%7B-1%7D%3D0)