Answer:
Step-by-step explanation:
the equation of the graph, which includes a translation of 3 units to the left, is:
d. y = -(x - 3)²
The equation of a quadratic function in vertex form is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
In this case, the vertex of the parabola is (3, 0) since it has been translated 3 units to the left. The negative sign indicates that the parabola opens downward.
By substituting the vertex coordinates into the vertex form, we get:
y = -(x - 3)²
This equation represents a parabola with its vertex at (3, 0) and opens downward.