Question

+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

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

Suppose

$g(x)\text{ = \lparen x-4\rparen}^2\text{ + 5}$

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

$f(x)\text{ = x}^2$

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 )