The value of k is 18, and the transformation equation is g(x) = f(x) + 18 if the linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x).
What is geometric transformation?
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
f(x) is a parent function and g(x) is the transformed function.
From the graph
f(x) passes through (0, -1) and (1, 2)
The equation of the function:
[tex]\rm y\ +1=\ \dfrac{\left(2+1\right)}{1}\left(x\right)[/tex]
f(x) = 3x - 1
To get the graph of g(x)
g(x) = f(x) + k
g(x) = 3x - 1 + 18
g(x) = 3x + 17
The value of k is 18
Thus, the value of k is 18, and the transformation equation is g(x) = f(x) + 18 if the linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x).
Learn more about the geometric transformation here:
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