The correct answer to the question is:
☐ C. The minimum y-value of g(x) is -3.
Explanation:
1. For function f(x) = 3 - 3, the y-value is constant and equal to 0, as the expression simplifies to f(x) = 0. Therefore, f(x) has a y-value of 0.
2. For function g(x) = 7x^2 - 3, we are dealing with a quadratic function. The term -3 represents a vertical shift downward by 3 units. The parabolic shape of the function indicates that the minimum point (vertex) of the parabola will be the lowest y-value.
3. Since the term -3 shifts the parabola down by 3 units, the minimum y-value of g(x) is -3. This means that g(x) has a minimum y-value of -3, making option C the correct choice.
Therefore, option C is the most suitable answer based on the properties of the given functions f(x) = 3 - 3 and g(x) = 7x^2 - 3.
