Graphing a quadratic using a table and axis of symmetry

The video tutorial explains how to graph quadratic functions using the table method. It covers identifying coefficients A, B, and C, finding the axis of symmetry, and calculating the vertex. The tutorial also demonstrates graphing the parabola by selecting points and using symmetry to complete the graph.

What is the first step in graphing a quadratic equation using the table method?

• Identifying the coefficients a, b, and c

• Calculating the y-intercept

• Drawing the axis of symmetry

• Finding the vertex

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

• By setting the equation to zero

• Using the formula X = -B / 2A

• By finding the y-intercept

• Using the formula Y = -A / 2B

What is the axis of symmetry for the quadratic equation with coefficients a = 2, b = -2, and c = 1?

• X = 1/2

• X = -1/2

• X = 1/4

• X = -1/4

How do you determine the vertex of a quadratic equation?

• By setting the equation to zero

• By substituting the axis of symmetry into the equation

• By finding the maximum or minimum value

• By finding the y-intercept

What are the coordinates of the vertex for the given quadratic equation?

• (0, 0)

• (2, 2)

• (1/2, 1/2)

• (1, 1)

When graphing a parabola, why is it important to choose points on either side of the axis of symmetry?

• To find the y-intercept

• To determine the maximum or minimum value

• To complete the graph by reflecting points

• To calculate the slope

What is the purpose of reflecting points over the axis of symmetry when graphing a parabola?

• To find the y-intercept

• To ensure the graph is symmetrical

• To determine the maximum value

• To calculate the slope