Question

The vertex of a parabola is the highest point if the parabola opens upward.

A) True
B) False

Answer 1

The vertex of a parabola is the highest or lowest point depending on whether it opens upward or downward.

Step-by-step explanation:

The statement is False.

The vertex of a parabola is the highest or lowest point of the parabola, depending on whether it opens upward or downward. If a parabola opens upward, the vertex is the lowest point of the parabola, not the highest point. So, the highest point of a parabola occurs when the parabola opens downward.

For example, consider the equation y = -3x^2 + 4x + 1. In this equation, the coefficient of x^2 is negative, which means the parabola opens downward. The vertex of this parabola is the highest point, which is located at the coordinates (h, k), where h and k are the coordinates of the vertex. In this case, the vertex is (2/3, 1 1/3).