Finding the Vertex of a Parabola

In this video, Malkowski the mathematician explains how to find the vertex of a parabola given in standard form. The process involves using the vertex formula, which is the opposite of B over 2a for the x-coordinate, and plugging this value back into the function to find the y-coordinate. The video provides a step-by-step guide, including labeling the coefficients a, b, and c, and calculating both the x and y coordinates of the vertex. The tutorial concludes with advice on understanding the process and encourages viewers to ask questions or suggest topics for future videos.

What is the given equation in the video?

• y = x^2 + 5x + 10

• y = x^2 - 10x + 5

• y = x^2 + 10x + 5

• y = x^2 - 5x + 10

What is the formula for finding the x-coordinate of the vertex?

• -b/2a

• -2a/b

• 2a/b

• b/2a

What does 'F of the opposite of B over 2a' represent?

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• The slope of the parabola

• The axis of symmetry

What is the coefficient of the x^2 term in the given equation?

• 10

• 0

• 5

• 1

What is the coefficient of the x term in the given equation?

• 10

• 1

• 0

• 5

What is the constant term in the given equation?

• 1

• 5

• 10

• 0

What is the x-coordinate of the vertex for the equation y = x^2 + 10x + 5?

• 5

• 10

• -5

• -10

What is the first step in finding the y-coordinate of the vertex?

• Add the coefficients

• Divide the coefficients

• Substitute the x-coordinate into the original equation

• Multiply the coefficients

What is the y-coordinate of the vertex for the equation y = x^2 + 10x + 5 when x = -5?

• -25

• 25

• -20

• 20

What is the final step in finding the vertex of a parabola?

• Find the y-coordinate

• Find the x-coordinate

• Label the coefficients

• Combine the x and y coordinates