Graphing a basic quadratic function using a table

This video tutorial demonstrates how to graph the quadratic equation y = 1/2x² using a table of values. The instructor explains the process of setting up a table with selected x-values, calculating the corresponding y-values, and plotting these points on a graph. The tutorial emphasizes the symmetry of the parabola and the importance of choosing values that simplify calculations. The video concludes with drawing the parabola and indicating its extension to infinity.

What is the first step in graphing a quadratic function like y = 1/2x^2?

• Using a table of values to find coordinates

• Drawing the x and y axes

• Plotting random points on the graph

• Calculating the derivative of the function

Why is it beneficial to choose x-values that are easy to square when graphing y = 1/2x^2?

• To make the graph look symmetrical

• To simplify the addition process

• To avoid dealing with fractions

• To ensure all y-values are positive

What happens to the y-value when you plug in a negative x-value in the function y = 1/2x^2?

• The y-value becomes zero

• The y-value doubles

• The y-value remains the same as for positive x

• The y-value becomes negative

What does the graph of y = 1/2x^2 do as it extends beyond the plotted points?

• It loops back on itself

• It curves downward

• It forms a straight line

• It continues to rise indefinitely

What do the arrows at the end of the graph of y = 1/2x^2 represent?

• The graph is symmetrical

• The graph will eventually loop back

• The graph continues to rise to infinity

• The graph stops at those points