test 9 section 3 number 18

This one is all about how translations (shifts up, down, left, or right) work in function notation. So, a quick review. If you know what any random function p(x) looks like, then you know:

  • p(x)+1 will shift that function UP one unit
  • p(x)-1 will shift that function DOWN one unit
  • p(x+1) will shift that function LEFT one unit
  • p(x-1) will shift that function RIGHT one unit

In this question, we’re shown the graph of f(x), and then we’re told that g(x)=f(x)+6. In other words, the graph of g(x) will be the same as the graph of f(x), just shifted up 6 units.

We can see from the graph we’re given that the maximum value of function f is 2, so the maximum value of function g will be 6 higher than 2: 8!

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