Answer:
Options B and D.
Step-by-step explanation:
The parent function of the given graph is f(x) = x²
When we move the graph given by 2 units left on x-axis, the translated graph becomes g(x) = (x + 2)²
We can see graph of the function g(x) is defined between
-∞ < x < ∞ or (-∞, ∞)
Therefore, domain of the function g(x) is the set all real number.
Similarly values of the function are greater than and equal to zero for the given domain.
0 < y < ∞ Or (0, ∞)
Therefore, range of the function is all real numbers greater than or equal to zero.
Options B and D are the solutions.
