Answer: The graph of the function f(x) = -2x² is a parabola that opens downward, with its vertex at the origin (0,0). The x-axis is the axis of symmetry for this parabola.
To plot five points on the graph of the function, we can substitute different x-values into the function and solve for y:
For x = 0, y = f(0) = -2(0)² = 0
For x = -2, y = f(-2) = -2(-2)² = 8
For x = -3, y = f(-3) = -2(-3)² = 18
For x = 2, y = f(2) = -2(2)² = -8
For x = 1, y = f(1) = -2(1)² = -2
So, the five points on the graph of the function are (0,0), (-2,8), (-3,18), (2,-8), (1,-2).
It's important to note that, the graph of f(x)=-2x² will be a parabola opening downward and passing through the points that we found.
Explanation: