Question

Consider the function f (x)= (x- 5)^2+2 and g (x)= (x+6)^2-4. Which of the following statements is true?


A. The graph of g(x) is shifted 2 units below and 1 unit to the right of the graph f(x).


B. The graph of g(x) is shifted 1 unit above and 2 units to the right of the graph f(x).


C. The graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x).


D. The graph of g(x) is shifted 11 units above and 6 units to the left of the graph f(x).

Answer 1

Answer:

The correct answer is C.

Step-by-step explanation:

I took the algebra nation test yourself and I got c, and the answer was correct. I hope this helps!

Answer 2

The transformation process that occurs on g(x) to form f(x) is  that the graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x).

Transformation of a function

Transformation of a figure is a way of shifting a figure from one point to another on a xy-plane.

Given the following functions

f(x)= (x- 5)^2+2

g(x)= (x+6)^2-4

The parent function is f(x) = g(x) = x^2

The transformation process that occurs on g(x) to form f(x) is that the graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x).

Learn more on transformation here: https://brainly.com/question/4289712