Question

Question 2 Multiple Choice Worth 1 points)
(08.05 MC)
Functions f(x) and g(x) are shown:
f(x)=x²
g(x)=x²-12x+36
In which direction and by how many units should f(x) be shifted to obtain g(x)?
O Left by 18 units
O Right by 18 units
O Left by 6 units
O Right by 6 units
2

Answer 1

Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²

Transformation of function

Transformation is a techniques use to change the position of an object on an xy-plane.

Given the parent function f(x) = x² and the function g(x) = x²-12x +36

Factorize g(x);

g(x) = x²-6x-6x+36

g(x)=x(x-6)-6(x-6)

Group the terms to have;

g(x) = (x-6)²

Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²

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