Question

F(x)=x2 for all real numbers x. g(x)=(x-1)2 + 2 for all real numbers x. Complete each of the 2 activities for this Task. Activity 1 of 2 Part A Which statement is true about f and g? A. The graph of g(x) can be drawn by translating the graph of f(x) 1 unit left and 2 units down. B. The graph of g(x) can be drawn by translating the graph of f(x) 1 unit right and 2 units down. C. The graph of g(x) can be drawn by translating the graph of f(x) 1 unit left and 2 units up. D. The graph of g(x) can be drawn by translating the graph of f(x) 1 unit right and 2 units up.

Answer 1

Using translation concepts, it is found that the correct statement is:

D. The graph of g(x) can be drawn by translating the graph of f(x) 1 unit right and 2 units up.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition..

In this problem, the parent and the translated functions are given by, respectively:

• F(x) = x².

• g(x) = (x - 1)² + 2.

We have that:

• x -> x - 1, which means that the function was shifted one unit to the right.

• 2 was added to the function, which means that it was shifted 2 units up.

Hence, option D is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517