Question

There is a line through the origin that divides the region y=4x−8x² .

a) True

b) False

Answer 1

The statement is True. A line through the origin that divides the region y = 4x - 8x² can be seen as a line of symmetry for the graph of the quadratic equation.

Step-by-step explanation:

The statement is a) True.

A line through the origin that divides the region y = 4x - 8x² can be seen as a line of symmetry for the graph of the quadratic equation. This line splits the graph into two symmetric halves, with the same shape but reflected across the line.

For example, if we graph the equation y = 4x - 8x², we would see that the line y = 0 is the line through the origin that divides the graph into two symmetric halves.