Graphing a quadratic function in standard form

The video tutorial explains how to graph a quadratic equation in the form y = ax^2, focusing on the example y = 1/2x^2. It covers the role of the parameter 'a', the axis of symmetry, and how to choose points for graphing. The tutorial provides tips for handling fractions and creating a table of values. It demonstrates plotting points and understanding graph reflection, concluding with a summary of key graph features like the vertex and intercepts.

What does the 'a' in the equation y = ax^2 determine about the graph?

• The type of graph

• The number of intercepts

• The direction and shape of the graph

• The color of the graph

Where is the axis of symmetry located for the equation y = ax^2?

• At y = 0

• At x = -1

• At x = 0

• At x = 1

Why is it recommended to avoid fractions when choosing points for graphing?

• Fractions change the graph's shape

• Fractions make calculations complex

• Fractions are not allowed in graphs

• Fractions are difficult to plot

What is the benefit of choosing x-values that are symmetrical around the axis of symmetry?

• It ensures the graph is balanced

• It changes the graph's direction

• It simplifies calculations

• It makes the graph colorful

What is the y-value when x = 0 for the equation y = 1/2x^2?

• 2

• 1/2

• 1

• 0

What is the vertex of the parabola y = 1/2x^2?

• (0, 0)

• (1, 1)

• (-1, 1)

• (0, 1)

Where do the x and y intercepts occur for the graph of y = 1/2x^2?

• At (0, 1)

• At (1, 0)

• At (0, 0)

• At (1, 1)