What kind of transformation converts the graph of function f(x)=−10(x−2)2+9 into the graph of g(x)=−10(x−2)2+6?​

Answer 1

In general, say you have function g(x) and have the following transformations:

a*g(x - b) + d

a = vertical stretch / compression

b = horizontal shift

d = vertical shift

In this problem,

g(x) = −10(x−2)² + 6 = f(x) - 3

This would be a downward shift of 3 units.