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?



Hint: How many units is g(x) shifting down of f(x)?

a
g(x) = (x + 9)2

b
g(x) = (x + 5)2

c
g(x) = (x + 7)2 + 2

d
g(x) = (x + 7)2 − 2

Answer 1

d

Explanation:

Comparing the graphs we understand :

⇒ g(x) is equal to f(x) when shifted down 2 units

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Hence :

⇒ g(x) = f(x) - 2

⇒ g(x) = (x + 7)² - 2