Two​ functions, f and​ g, are related by the equation ​g(x)=f(x-2). Use the numerical representation of f to make a numerical representation of g.

Question

Given table

X -4 -2 0 2 4

F(x) 4 2 -2 -4 -8

Complete the table values below:

X __ __ __ __ __

G(x) 4. 2. -2 -4. -8

Answer 1

Come on, Alyssa, don't overthink.

Remember that f(x) or g(x) both mean y.

f(2) means "what is the value of y when x = 2, right??

So, if f(x) = g(x - 2), that means that in the 1st table that f(-4) = 4, f(-2) = 2, etc.

Soooooo, if f(x) = g(x - 2) and the y-values are all the same, what do yoooou think the x-values qre in the 2nd table?

You got this.