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barxatty [35]
3 years ago
6

If the original function () = 22 − 1 is shifted to the left 3 units to make the

Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

A horizontal translation is expressed by transforming

f(x)\mapsto f(x+k)

If k is positive, the function is translated to the left. If k is negative, the function is translated to the right.

So, a 3-units left shift is given by k=3. So you have

f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1

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