The correct answer is A. g(x) = f(x) + 9.
When a graph is shifted upward by a certain number of units (in this case, 9 units), you add that number to the function. So, starting from \( f(x) = x \), the new function becomes \( g(x) = x + 9 \).
If the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph?
A. g(x)=f(x)+9
B. g(x)=9-f(x)
C. g(x)=9f(X)
D. g(X)=f(X)-9
1 answer
The correct answer is A. g(x) = f(x) + 9.
When a graph is shifted upward by a certain number of units (in this case, 9 units), you add that number to the function. So, starting from \( f(x) = x \), the new function becomes \( g(x) = x + 9 \).