Part A: The parabola opens downward. Part B: X-intercept(s): (2, 0), Y-intercept(s): (0, -4). Part C: The vertex is located at (2, 0). Part D: The equation of the axis of symmetry is (x = 2).
Let's break down the solution step by step:
Part A:
The parabola opens downward.
Part B:
X-intercept(s):
For y = 0, x = 2, so the x-intercept is (2, 0).
Y-intercept(s):
For x = 0, y = -4, so the y-intercept is (0, -4).
Part C:
The coordinates of the vertex are given as (2, 0).
Part D:
The equation of the axis of symmetry is (x = 2), which is the x-coordinate of the vertex.
So, summarizing:
(a) The parabola opens downward.
(b) X-intercept: (2, 0)
Y-intercept: (0, -4)
(c) Vertex: (2, 0)
(d) Equation of the axis of symmetry: x = 2.