+Suppose g(x) = (x – 4)2 + 5. Which statement best compares the graph ofg(x) with the graph of f(x) = x2?O A. The graph of g(x) is shifted 4 units left and 5 units up.O B. The graph of g(x) is shifted 4 units left and 5 units down.O c. The graph of g(x) is shifted 4 units right and 5 units down.O D. The graph of g(x) is shifted 4 units right and 5 units up.SUBMIT

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SOLUTION:

Step 1:

In this question, we are given the following:

Suppose

[tex]g(x)\text{ = \lparen x-4\rparen}^2\text{ + 5}[/tex]

Which statement best compares the graph of g(x) with the graph of:

[tex]f(x)\text{ = x}^2[/tex]

Step 2:

The details of the solution are as follows:

The graphs of the two functions are as follows:

CONCLUSION:

The final answer is:

The graph of g(x) is shifted 4 units right and 5 units up ( OPTION D )

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