Answer:
Find the Vertex:
To find the vertex of the parabola, you can use the formula for the x-coordinate of the vertex of a quadratic function in the form of f(x) = a(x - h)^2 + k:
In your case, a = -1, h = 2, and k = 0.
The x-coordinate of the vertex is h = 2.
Plot the Vertex:
Plot the vertex at (2, 0).
Find Another Point:
To find another point on the parabola, you can choose an x-value other than 2 and calculate the corresponding y-value. For simplicity, you can choose x = 0:
f(0) = -(0 - 2)(0 + 4) = -(2)(4) = -8
So, when x = 0, y = -8.
Plot the Second Point:
Plot the second point at (0, -8).
Now you have the vertex (2, 0) and another point (0, -8) on the graph of the quadratic function f(x) = -(x - 2)(x + 4). You can connect these points to sketch the parabola.