Answer: g(x) = (x + 2)^2 + 1
Explanation:
The parent function is
F(x) = x^2
If a function, f(x) is shifted c units to the left, the new function becomes f(x + c)
Also, If a function, f(x) is shifted d units upwards, the new function becomes f(x) + d
Looking at the graph, the blue graph was gotten by shifting the red graph 2 units to the left and 1 unit upwards. Thus,
g(x) = (x + 2)^2 + 1
