Answer:
D
Step-by-step explanation:
The red graph is vertically shifted from the blue graph. Let's understand horizontal and vertical shifts.
If we have a graph of [tex]f(x)=x^2[/tex], then
- f(x) + a is a units shifted vertically up
- f(x) - a is a units shifted vertically down
- f(x-b) is b units shifted horizontally right
- f(x+b) is b units shifted horizontally left
Since the red one is vertically shifted 3 units up (compared to blue graph), the equation would be:
[tex]g(x)=f(x)+3\\g(x)=x^2 + 3[/tex]
Correct answer is D
