Answer:
I think the answer is B
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3) 
2
 +1 . Below is the explanation
Step-by-step explanation:
Given:
 The graph of f(x)=x^{2}x 
2
 
To find:
 The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3) 
2
 +1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3) 
2
 +1
 
        
             
        
        
        
Answer:
r = t(r-3)
Step-by-step explanation:
t = r/r-3
r/r-3 = t
r = t x (r-3)
 
        
             
        
        
        
Answer:
top right graph
Step-by-step explanation:
because on every side of 0 the values are the same
 
        
                    
             
        
        
        
answer:

Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is  , where (p,q) is the turning point. now we substitute the turning point
  , where (p,q) is the turning point. now we substitute the turning point
 , now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2  
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is
