The vertex-form equation is
  y = a(x+1)² -16
Putting in the y-intercept values, we have
  -15 = a(0+1)² -16
  1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
  0 = (x+1)² -16
  16 = (x+1)²
  ±4 = x+1
  x = -1 ± 4 = 
{-5, 3}
 
        
        
        
Answer:
   $8.00
Step-by-step explanation:
The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.
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<h3>setup</h3>
Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...
   a - c = 1.50 . . . . . . . adult tickets are $1.50 more
   175a +325c = 3512.5 . . . . . total revenue from ticket sales.
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<h3>solution</h3>
We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...
   c = a -1.50
Substituting that into the second equation, we have ...
   175a +325(a -1.50) = 3512.50
   500a -487.50 = 3512.50 . . . . . . simplify
   500a = 4000 . . . . . . add 487.50
   a = 8 . . . . . . . . . divide by 500
An adult ticket costs $8.
 
        
             
        
        
        
<h3>
Answer:  Yes it is a function.</h3>
Reason: 
There are no repeated x values, so each x input leads to exactly one y output. That's why we have a function. 
If we had something like (1,18) and (1,12), then the input x = 1 leading to simultaneous outputs y = 18 and y = 12 would mean we wouldn't have a function. 
 
        
        
        
Answer:
y=-2x-6
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Your answer is B
Step-by-step explanation:
rotating about/around the origin taking a shape and rotating it with the same values but around the point (0,0). so rotating your shape ABC around (0,0) with the same value would give you the shape A'B'C'