Question

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):


Part A: Describe two types of transformations that can be used to transform f(x) to g(x).

Part B: Solve for k in each type of transformation.

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answer 1

Given :         The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

To Find : two types of transformations that can be used to transform f(x) to g(x).

Solution:

f(x) = x/5  + y/(-10) = 1

=> 2x  - y  =  10

g(x) = x/(-3) + y/6  = 1

=> 2x  -  y  = - 6  

Transformations :

g(x)  = f(x)  +  16

g(x) = f(x + 8)

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