# Graph the function y = (x - 1)^{2 }+ 3. How is the graph a translation of f(x) = x^{2}.

**Solution:**

The function y = (x - 1)^{2} + 3 is a translation of the function f(x) = x^{2}.

If the function y = f(x) = x^{2 }is translated to the right by 1 unit because of the square of (x - 1)

y = f(x) = (x - 1)^{2}.

If the above function i.e. y = f(x) = (x - 1)^{2} is translated up by 3 units we get

y = f(x) = (x - 1)^{2} + 3

The graph of the translation is shown below:

## Graph the function y = (x - 1)^{2 }+ 3. How is the graph a translation of f(x) = x^{2}

**Summary:**

The graph is a translation of f(x) = x^{2} by moving 1 unit right and 3 units up.

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