How to determine the axis of symmetry and vertex

The video tutorial covers solving a quadratic equation by finding the axis of symmetry and the vertex. It begins with an introduction to the problem and context, followed by an explanation of the quadratic equation components. The tutorial then demonstrates how to calculate the axis of symmetry using the formula x = -b/2a and proceeds to find the vertex by substituting the x-coordinate into the equation. The vertex is identified as a coordinate point, representing either the maximum or minimum of the parabola.

What is the general form of a quadratic equation?

• y = ax^3 + bx^2 + c

• y = ax^2 + b

• y = ax + b

• y = ax^2 + bx + c

How do you determine the axis of symmetry for a quadratic equation?

• x = b / 2a

• x = -b / 2a

• x = a / 2b

• x = -a / 2b

If a quadratic equation is y = x^2 + 4x + 1, what is the value of b?

• 0

• 4

• 2

• 1

What is the x-coordinate of the vertex for the equation y = x^2 + 4x + 1?

• 4

• -2

• 2

• 0

For the equation y = x^2 + 4x + 1, what is the y-coordinate of the vertex?

• -1

• 5

• -5

• 0