Answer:
1 4/5
Step-by-step explanation:
 
        
             
        
        
        
Answer:
all work is shown and pictured
 
        
                    
             
        
        
        
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
 
        
             
        
        
        
It may be easier to start from
.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0
The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...
.. a ≠ 0
.. b = 2a
.. c = -3a
        
             
        
        
        
That would be 7 because it is placed in front of the y