The function f(x) = -7x + 22 and g(x) is f(x) translated up 5 thus option (D) is correct.
<h3>What is the transformation of a graph?</h3>
Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given table,
The function f(x) = -7x + 22 is satisfying the table.
For example at x = 2
f(2) = -7 x 2 + 22 = 8
Now, since, g(x) = f(x) + 5 thus g(x) is translated up to 5 units.
Hence "The formula f(x) = -7x + 22 and the translation of f(x) up 5 is g(x).".
To learn more about the transformation of graphs,
brainly.com/question/3099136
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