If $f (x) = 2 x - 1$ is shifted to 2 units to the left and $g (x)$ represents new equation. Find $g (x)$ .

g (x) = 2 x - 5

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g - 3 x = 2 x

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g (x) = 2 x + 1

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g (x) = 2 x - 3

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Solution

The correct option is D $g (x) = 2 x - 3$
f(x) = 2x - 1 is shifted to 2 units to the left which means f(x) = 2x - 1 - 2
So, new g(x) = f(x - h) + k
k = 0, h = -2
g(x) = 2x - 3

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