Question

The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?

Answer 1

f(x - k) = (x - k)²⇒ k = 5

Explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

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Look at the picture.

The graph has been shifted 5 units to the right.

Therefore we have f(x - 5).