4 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
                 -2x² + 8x = y + 2
                 -2(x² - 4x + 4) = y + 2 - 8 
                 -2(x - 2)² = y - 6
                     (x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry =   x = 2
y-intercept
                  f(0) = -2(0)² + 8(0) - 2
                  f(0) = 0 + 0 - 2
                  f(0) = -2
Domain    (-∞, ∞)
Range    (-∞, 6]
See the graph below
 
        
             
        
        
        
ANSWER
all real numbers
EXPLANATION
The given absolute value function is 

This function is obtained by shifting the graph of 

to the left by 2 units.
Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.
 
        
             
        
        
        
Answer:
iTS 2
Step-by-step explanation: