Answer:
Option C is the answer.
Step-by-step explanation:
Graph represented by y = (x + 2)² is a quadratic function or a parabola.
This equation is in the vertex form y = (x -h)² + k
where (h, k) is the vertex.
So in the graph y = (x + 2)², vertex is (-2, 0)
Now the translated form of the parabola is y = x² + 3
In this equation vertex is (0, -3)
We can now easily find the translation of vertex (-2, 0) to (0, 3)
Horizontal shift = 0 - (-2) = +2
Vertical shift = 3 - 0 = +3
Therefore, a horizontal shift of 2 units right and vertical shift of 3 units up has been done in the parent function.
Option C. is the answer.
