Answer:
g(x) is f(x) shifted 2 units right and 7 units up
Step-by-step explanation:
Given
[tex]g(x) = f(x - 2) + 7[/tex]
Required
Relationship between f(x) and g(x)
We have:
[tex]f(x)[/tex]
When f(x) is shifted 2 units to the right;
The rule is:
[tex]x \to x -2[/tex]
So, it becomes:
[tex]f(x - 2)[/tex]
When [tex]f(x - 2)[/tex] is shifted up by 7 units,
The rule is:
[tex]y \to y + 7[/tex]
So, it becomes:
[tex]f(x - 2) + 7[/tex]
Hence;
g(x) is f(x) shifted 2 units right and 7 units up
