Graphing Quadratic Equations: Zeros and Vertex Method

The video tutorial teaches how to graph quadratic equations by identifying zeros and the vertex. It begins with a review of factoring quadratic equations to find zeros, followed by an explanation of the axis of symmetry. Two examples are provided to demonstrate the process of graphing quadratic equations, emphasizing the importance of the axis of symmetry and vertex in plotting the parabola accurately.

What is the first step in factoring the quadratic equation X^2 + 9X + 20?

• Graph the equation

• Calculate the vertex

• Identify the constant term

• Find the axis of symmetry

When factoring X^2 + 9X + 20, what are the correct zeros?

• X = 4 and X = 5

• X = -4 and X = -5

• X = 0 and X = 9

• X = 1 and X = -1

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

• By subtracting the zeros

• By calculating the average of the zeros

• By finding the product of the zeros

• By finding the sum of the zeros

What is the axis of symmetry for the equation y = X^2 + 3X - 10?

• X = 1.5

• X = 0

• X = -1.5

• X = -1

What is the vertex of the parabola for the equation y = X^2 + 3X - 10?

• (-1, -8)

• (1, 8)

• (-1.5, -12.25)

• (1.5, 12.25)

For the equation y = 2X^2 + 4X - 6, what are the zeros?

• X = 1 and X = -3

• X = -1 and X = 3

• X = 2 and X = -2

• X = 0 and X = 4

What is the vertex of the parabola for the equation y = 2X^2 + 4X - 6?

• (2, 4)

• (-1, -8)

• (1, 8)

• (-2, -4)