Find the vertex of a polynomial

The video tutorial explains how to find the axis of symmetry and vertex of a quadratic equation. It begins with an introduction to the quadratic form and the importance of understanding the coefficients. The tutorial then details the steps to calculate the axis of symmetry using the formula -B/2A and demonstrates how to find the vertex by substituting the axis of symmetry into the equation. The example used has coefficients A=6, B=0, and C=0, leading to an axis of symmetry at X=0 and a vertex at (0,0).

What is the first step in solving a quadratic problem according to the teacher?

• Solve for the roots

• Memorize the quadratic formula

• Identify the coefficients A, B, and C

• Graph the equation

In the quadratic form Y = AX^2 + BX + C, what are the values of B and C if they are not explicitly given?

• Undefined

• A

• 0

• 1

What is the formula used to find the axis of symmetry in a quadratic equation?

• 2A / B

• A + B + C

• -B / 2A

• B / 2A

If the axis of symmetry is X = 0, what is the X-coordinate of the vertex?

• 0

• 1

• B

• A

How do you find the Y-coordinate of the vertex once you have the X-coordinate?

• Plug the X-coordinate into the original equation

• Use the quadratic formula

• Subtract C from A

• Divide A by B