Question

The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the function rule for g(x) given f(x) = x²?

Answer 1

Answer:

The graph of g(x) = (x + 2)2 is a translation of the

graph of f(x) left by 2 units.

The graph of h(x) = (x − 3)2 is a translation of the

graph of f(x) right by 3 units.

Step-by-step explanation:

Answer 2

F ( x ) = x²
f ( x )  :
- to the left 8 units:  f ( x + 8 )
- to the left 8 units and up 2 units : f ( x + 8 ) + 2 = g ( x )
g ( x ) = ( x + 8 )² + 2