Answer:
45) The function corresponds to graph A
46) The function corresponds to graph C
47) The function corresponds to graph B
48) The function corresponds to graph D
Step-by-step explanation:
We know that the function f(x) is:

45)
The function g(x) is given by:

using f(x) we can find f(x-1)

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.


Puting it on g(x) we will get y value.


<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>
46)
Let's use the same method here.



Let's find the first derivative and equal to zero to find x and y minimum value.



Evaluatinf g(x) at this value of x we have:


<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>
47)
Let's use the same method here.



Let's find the first derivative and equal to zero to find x and y minimum value.



Evaluatinf g(x) at this value of x we have:


<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>
48)
Let's use the same method here.



Let's find the first derivative and equal to zero to find x and y minimum value.



Evaluatinf g(x) at this value of x we have:


<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>
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I hope it helps you!
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