Problem

Question 2 (1 point)
Compared to the graph of the base function y=x2, the graph of the function g(x)=(x9)2+4 is translated

Answer

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Answer

The graph of the function g(x)=(x9)2+4 is translated 9 units to the right and 4 units up compared to the graph of the base function y=x2.

Steps

Step 1 :The function g(x)=(x9)2+4 is a transformation of the base function y=x2. The transformation involves a horizontal shift and a vertical shift.

Step 2 :The term (x9) in the function g(x) indicates a horizontal shift of 9 units to the right.

Step 3 :The term +4 indicates a vertical shift of 4 units upwards.

Step 4 :Therefore, compared to the graph of the base function y=x2, the graph of the function g(x)=(x9)2+4 is translated 9 units to the right and 4 units up.

Step 5 :The graph of the function g(x)=(x9)2+4 is translated 9 units to the right and 4 units up compared to the graph of the base function y=x2.

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