Question

Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one unit up. ƒ(x) = (x - 2)2 - 1 ƒ(x) = (x - 2)2 + 1 ƒ(x) = (x + 2)2 - 1 ƒ(x) = (x + 2)2 + 1

Answer 1

ƒ(x) = (x - 2)^2 + 1

Explanation:

To make f(x) be a translation of the graph of g(x) by (h, k), write it as ...

f(x) = g(x -h) +k

You want to translate g(x) = x^2 by (2, 1), 2 units right and 1 unit up, so the function f(x) is ...

f(x) = g(x -2) +1

f(x) = (x -2)^2 +1