Question

the graph of f(x)=x^2 will be translated 5 up and 2 units to the right .which function describe the graph produced by the translation

Answer 1

The graph of f(x) = x^2 translated 5 units up and 2 units to the right can be described by the function g(x) = (x-2)^2 + 5.

Step-by-step explanation:

The graph of f(x) = x^2 translated 5 units up and 2 units to the right can be described by the function g(x) = (x-2)^2 + 5.

Here's how the translation is done:

1. To shift the graph 2 units to the right, subtract 2 from the x-coordinate. The expression becomes g(x) = (x-2)^2
2. To shift the graph 5 units up, add 5 to the y-coordinate. The final function becomes g(x) = (x-2)^2 + 5.