Graphing Parabolas from Quadratic Factored Form

The video tutorial guides viewers through graphing a quadratic equation, emphasizing the identification of x-intercepts and the vertex to sketch a parabola. It begins with an introduction to the equation, explains its quadratic nature, and demonstrates how to find the x-intercepts and vertex. The tutorial concludes with a hand-drawn sketch of the parabola, highlighting its symmetry.

What is the first step suggested to graph the equation?

• Plot random points

• Identify the type of equation

• Find the vertex

• Pause the video and take out graph paper

What type of equation is being graphed in the video?

• Exponential

• Linear

• Cubic

• Quadratic

What is the shape of the graph for a quadratic equation?

• Line

• Circle

• Parabola

• Ellipse

How many times can a parabola intersect the x-axis?

• Three times

• Multiple times

• Twice

• Once

What are the x-intercepts of the equation 12 * x - 6 * x + 2 = 0?

• x = 0 and x = 2

• x = 6 and x = -2

• x = 4 and x = -4

• x = 3 and x = -3

What is the midpoint between the x-intercepts 6 and -2?

• 1

• 2

• 0

• 4

What is the x-coordinate of the vertex of the parabola?

• 6

• -2

• 2

• 0

How do you find the y-coordinate of the vertex?

• By solving the equation for x = 2

• By solving the equation for x = -2

• By solving the equation for x = 0

• By solving the equation for x = 6

What is the y-coordinate of the vertex when x = 2?

• 8

• -8

• 16

• -16

What is the general shape of the parabola?

• Sideways opening

• Upward opening

• No specific shape

• Downward opening