Graphing a quadratic using a table

The video tutorial teaches how to graph a quadratic function using a table. It begins with an introduction to graphing and explains the importance of the axis of symmetry. The instructor guides students through selecting points on either side of the axis, evaluating the function at these points, and plotting them. The process includes finding the vertex and reflecting points over the axis to complete the parabola. The tutorial emphasizes understanding the symmetry and shape of the graph.

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

• Plot the y-intercept

• Find the vertex

• Calculate the axis of symmetry

• Choose random points

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

• X = b / 2a

• X = -b / 2a

• X = a / 2b

• X = c / 2a

Why might you choose points to the left of the axis of symmetry?

• They are always positive

• They are easier to calculate

• They are smaller numbers

• They are closer to the y-axis

What is the result of evaluating the function at the axis of symmetry?

• The y-intercept

• The vertex

• The slope

• The maximum point

What shape does a parabola have?

• S-shaped

• L-shaped

• U-shaped

• V-shaped

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

• Double them

• Reflect them over the axis

• Erase them

• Ignore them

What is the final step in graphing a quadratic using a table?

• Find the y-intercept

• Connect the points to form a parabola

• Calculate the slope

• Determine the domain