Understanding Quadratic Functions and Graphing

The video tutorial explains how to complete a table using the function rule f(x) = 1/2x squared. It demonstrates selecting x values, calculating corresponding y values, and plotting these points on a graph. The tutorial highlights the symmetry of the graph about the y-axis, forming a parabola. It concludes by emphasizing the importance of finding enough points to sketch a graph accurately.

What is the function rule used in this lesson?

• f(x) = 2x^2

• f(x) = 1/2x^2

• f(x) = x^2

• f(x) = x/2

What is the first step in completing the table for graphing the function?

• Select any y-value

• Select any x-value

• Divide x by 2

• Multiply x by 2

What is the y-value when x = -3 for the function f(x) = 1/2x^2?

• 2

• 3

• 9

• 4.5

Which point is plotted on the graph when x = 0?

• (0, 1)

• (0, 4)

• (0, 0)

• (0, 2)

What is the y-value for x = 2 in the function f(x) = 1/2x^2?

• 1

• 2

• 3

• 4

What is the y-value when x = 3 for the function f(x) = 1/2x^2?

• 5.5

• 6.5

• 4.5

• 3.5

What is the shape of the graph formed by the function f(x) = 1/2x^2?

• Ellipse

• Parabola

• Line

• Circle

What characteristic do the plotted points exhibit about the y-axis?

• Symmetry

• Asymmetry

• None of the above

• Randomness

What is the significance of using a T-table in graphing functions?

• It helps in finding the slope

• It helps in finding the intercepts

• It helps in finding enough points to sketch the graph

• It helps in finding the domain

What is the general shape of a graph for a quadratic function like f(x) = 1/2x^2?

• Z-shaped

• S-shaped

• U-shaped

• V-shaped