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Ierofanga [76]
3 years ago
7

The graph below represents the function f(x) and the translated function g(x) .

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:  D.  g(x) = (x-b)^2

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from f(x) = x^2 to g(x) = (x-b)^2. You can think of it as g(x) = f(x-b) = (x-b)^2

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