Question

2) The maximum point on the graph of the equation y-f(x) is (-5,7). What is the maximum pointon the graph of the equation y = f(x - 2)+ 3 ?

Answer 1

The second equation is a translation of the first one:

$(x,y)\rightarrow((x-2),(y+3))$

So if the maximum point of the first equation is (-5,7), then the maximum of the translated equation is:

$(-5,7)\rightarrow((-5-2),(7+3))$

The maximum is (-7, 10)