SOLUTION: The point -12 and 4 is on the graph of y=f(x) Find a point on the graph of y=g(x) g(x)=f(x-2)

Algebra ->  Graphs -> SOLUTION: The point -12 and 4 is on the graph of y=f(x) Find a point on the graph of y=g(x) g(x)=f(x-2)      Log On


   



Question 146131: The point -12 and 4 is on the graph of y=f(x) Find a point on the graph of y=g(x)
g(x)=f(x-2)

Answer by solver91311(24713) About Me  (Show Source):
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The notation f(x) means the value of the function f at x. So, if the point (x,y) is on the graph of y=f(x), then y is the value of f at x. Given the point (-12,4), you know that 4 is the value of f at -12. Likewise, g(x) is the value of the function g at x. You are given that the value of the function g at x is the same as the value of the function f at x minus 2, so if you let x = -10, then x - 2 = -12. The value of f at -12 is 4, so the value of g at -10 must be 4 as well, therefore the point (-10,4) is on the graph of y=g(x).