Graphing Parabolas Using Step Patterns

This video tutorial explains how to graph a quadratic equation using the step pattern method. It begins by identifying the vertex of the equation y = -2(x - 4)^2 + 8, explaining how to determine the vertex from the equation's vertex form. The tutorial then describes the step pattern, which involves multiplying a sequence of numbers by the coefficient 'a' to determine the steps for plotting points. The video demonstrates how to graph the parabola by starting at the vertex and using the step pattern to plot additional points, ensuring the graph forms a smooth U-shape. The tutorial emphasizes the importance of accuracy and labeling in the graphing process.

What is the main focus of this video tutorial?

• Understanding linear equations

• Finding the roots of a parabola

• Graphing using step patterns

• Solving quadratic equations

What is the vertex of the parabola given by the equation y = -2(x - 4)^2 + 8?

• (-4, -8)

• (4, -8)

• (-4, 8)

• (4, 8)

How do you determine the vertex from the vertex form of a quadratic equation?

• By solving the equation for x

• By flipping the sign of the x-value inside the brackets and keeping the y-value

• By setting the equation to zero

• By looking at the coefficients of x

What is the initial step pattern sequence before multiplying by 'a'?

• 3, 5, 7

• 2, 4, 6

• 1, 3, 5

• 1, 2, 3

If 'a' is -2, what is the resulting step pattern?

• -1, -3, -5

• 2, 6, 10

• -2, -6, -10

• 1, 3, 5

What is the first step in graphing the parabola using the step pattern?

• Plotting the vertex

• Calculating the roots

• Drawing the axis of symmetry

• Plotting the y-intercept

After plotting the vertex, what is the next step in using the step pattern?

• Move over 2 units and down by the step pattern

• Move over 1 unit and up by the step pattern

• Move over 2 units and up by the step pattern

• Move over 1 unit and down by the step pattern

How many times do you apply the step pattern on one side of the vertex?

• Once

• Three times

• Twice

• Four times

What should you do after plotting points on one side of the vertex?

• Calculate the slope

• Draw a straight line

• Plot points on the other side

• Erase the points

What is important to remember when connecting the points to form the parabola?

• Draw a zigzag pattern

• Create a smooth U-shape

• Make sure it forms a V-shape

• Ensure it is a straight line