Vertex Form of Quadratic Equations

The video tutorial explains how to model the height of a ball thrown into the air using a quadratic equation in vertex form. The maximum height of the ball is 15 meters at 3 seconds. The tutorial demonstrates how to identify the vertex of the equation, which is the highest point, and determine the H value, which is the x-coordinate of the vertex. The process involves understanding the relationship between time and height and applying this to find the vertex coordinates, leading to the conclusion that H equals 3.

What is the maximum height reached by the ball?

• 10 meters

• 20 meters

• 15 meters

• 25 meters

At what time does the ball reach its maximum height?

• 30 seconds

• 40 seconds

• 20 seconds

• 10 seconds

What is the general form of a quadratic equation in vertex form?

• FX = a * (x + h)^2 + K

• FX = a * x^2 - bx + c

• FX = a * (x - h)^2 + K

• FX = a * x^2 + bx + c

In the vertex form of a quadratic equation, what does the vertex represent?

• The lowest point of the parabola

• The highest point of the parabola

• The point where the parabola intersects the x-axis

• The point where the parabola intersects the y-axis

What are the coordinates of the vertex in this problem?

• (3, 0)

• (0, 15)

• (15, 3)

• (3, 15)

What is the value of h in the vertex form of the equation for this problem?

• h = 0

• h = 15

• h = 3

• h = 30