Question

The graph of g(x) is a translation of the function f(x) = x². The vertex of g(x) is located 5 units above and 7 units to the rigt
of the vertex of f(x). Which equation represents g(x)?

Answer 1

Answer:

  $g(x)=(x-7)^2+5$

Step-by-step explanation:

Translation of f(x) by h units to the right and k units upward transforms it to ...

  g(x) = f(x -h) +k

Here, you have f(x) = x^2, and (h, k) = (7, 5), so the transformed function is ...

  g(x) = (x -7)^2 +5