Question

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The graph of g(x) is f(x) translated to the right 7 units and up 2 units. What is the function rule for g(x) given f(x) = x²?
(2 points)
PLEASE HELP

Answer 1

The function rule for g(x) after translating f(x) to the right by 7 units and up by 2 units is g(x) = (x - 7)² + 2.

Step-by-step explanation:

The function rule for g(x) given that f(x) is translated to the right by 7 units and up by 2 units is derived by making adjustments to the input and output of f(x), which is f(x) = x².

To translate a graph to the right by 7 units, we replace x with (x - 7) in the function. Then, to translate it up by 2 units, we add 2 to the entire function. Therefore, the transformed function or the function rule for g(x) is:

g(x) = (x - 7)² + 2