Let the graph of g be a vertical shrink by a factor of 1/5 followed by a translation 8 units down of the graph of f(x) = x^2 Write a rule for g.

g(x) =

Using translation concepts, it is found that the rule for g is:

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The parent function is: .Shrinking a function f(x) vertically by a factor of is equivalent to: f(x) by a factor of 1/5:

Shifting a function down a units is the same as finding .Down 8 units, then, the rule for g is:

A similar problem is given at link