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, calculating the vertex, and graphing the parabola by selecting points and using symmetry. The teacher guides students through each step, ensuring they understand the process and can apply it to solve problems.

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

• Identifying the coefficients a, b, and c

• Finding the vertex

• Drawing the parabola

• Calculating the y-intercept

How do you calculate the axis of symmetry for a quadratic function?

• Using the formula X = b/2a

• By setting the derivative to zero

• By finding the midpoint of the parabola

• Using the formula X = -b/2a

What is the next step after finding the axis of symmetry in graphing a quadratic?

• Finding the y-intercept

• Calculating the vertex

• Drawing the parabola

• Reflecting points over the axis

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

• By setting y = 0

• By substituting the axis of symmetry into the quadratic equation

• By using the formula y = ax^2 + bx + c

• By finding the average of the roots

What is the purpose of selecting points to the left and right of the axis of symmetry?

• To calculate the y-intercept

• To determine the slope of the parabola

• To find the maximum or minimum value

• To complete the graph of the parabola

What is the significance of reflecting points over the axis of symmetry?

• It helps in finding the vertex

• It completes the parabola

• It determines the axis of symmetry

• It calculates the y-intercept

If the vertex is a minimum, what does it indicate about the parabola?

• The parabola has no axis of symmetry

• The parabola opens upwards

• The parabola is a straight line

• The parabola opens downwards