Answer:
Third option: The graph moves left 18 units.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is shifted up "k" units.
If 
, the function is shifted down "k" units.
If 
, the function is shifted left "k" units.
If 
, the function is shifted right "k" units.
In this case, we can observe that graph of 
is changed to 
Since:
We can conclude that the function is shifted left 18 units to get the function .
Hi,
4a - 11 = 2a + 3
4a - 11 + 11 = 2a + 3 + 11
4a = 2a +14
4a - 2a = 2a - 2a + 14
2a = 14
2a / 2 = 14 / 2
a = 7
3z + 12 = 15
3z + 12 - 12 = 15 - 12
3z = 3
3z / 3 = 3 / 3
z = 1
2 - 6b = 20
2 - 2 - 6b = 20 - 2
- 6b = 18
6b = - 18
6b / 6 = -18 / 6
b = -3
3y - 5 = 27 - y
3y - 5 + 5 = 27 - y + 5
3y = - y +32
3y + y = - y + y +32
4y = 32
4y / 4 = 32 / 4
y = 8
✅(◠‿◕)
We have the following system:
y = -2x + 5
3x-4y = 2
Substituting y in equation 2 we have:
3x-4 (-2x + 5) = 2
We clear x:
3x + 8x - 20 = 2
11x = 2 + 20
x = 22/11
x = 2
Then, we substitute x = 2 in equation 1:
y = -2 (2) +5
y = -4 + 5
y = 1
Answer:
The solution to the system of equations is:
x = 2
y = 1
