Question

The graphs of f(x) and g(x) are shown below:

If f(x) = (x + 7)2, which of the following is g(x), based on the translation?

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x + 7)2 + 2
g(x) = (x + 7)2 − 2

Answer 1

Answer: The correct answer is option...

(D) g(x) = (x + 7)2 − 2

Step-by-step explanation: Proof in the image below

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Answer 2

g(x) = (x + 7)² - 2

Explanation:

2 units downwards:

turning point: (-7,-2)

g(x) = f(x) - 2

g(x) = (x + 7)² - 2