Vertex of a Parabola

Ryan Malloy from the Worldwide Center of Mathematics explains how to find the vertex of a parabola. He uses the polynomial y = x^2 - 2x - 3 and its graph to demonstrate the process. The x-coordinate of the vertex is calculated using the formula -B/2A, and the y-coordinate is found by substituting the x-value back into the equation. The vertex is then plotted on the graph, illustrating the simplicity of the process.

What is the polynomial equation discussed in the video?

• y = x^2 + 2x + 3

• y = x^2 - 2x - 3

• y = x^2 - 3x + 2

• y = x^2 + 3x - 2

What is the formula to find the x-coordinate of the vertex of a parabola?

• B/2a

• 2a/B

• B^2 - 4ac

• a/2B

If B is -2 and a is 1, what is the x-coordinate of the vertex?

• -1

• 1

• 2

• 0

How do you find the y-coordinate of the vertex once you have the x-coordinate?

• Plug the x-coordinate into the original equation

• Multiply the x-coordinate by 2

• Add the x-coordinate to the constant term

• Subtract the x-coordinate from the constant term

What is the y-coordinate of the vertex for the polynomial y = x^2 - 2x - 3?

• 0

• 1

• -3

• -4

Where is the vertex located on the graph of the polynomial y = x^2 - 2x - 3?

• (0, -3)

• (2, -1)

• (1, -4)

• (-1, 0)

What is the significance of the vertex in the graph of a parabola?

• It is the point where the graph intersects the y-axis.

• It is the lowest point on the graph.

• It is the highest point on the graph.

• It is the point where the graph intersects the x-axis.