Graphing a quadratic function in vertex form with dilation

The video tutorial explains how to use the vertex form to graph the equation y = 3x^2. It covers the importance of vertex form in understanding transformations and dilations. The tutorial demonstrates how to graph the equation by identifying the vertex and axis of symmetry, and how to use these to plot points and complete the parabola. The role of the parameter 'a' in affecting the graph's shape is also discussed.

What does the parameter 'A' in the vertex form of a quadratic equation indicate?

• The color of the graph

• The reflection and dilation of the graph

• The vertical shift of the graph

• The horizontal shift of the graph

In the equation y = 3x^2, what are the values of H and K?

• H = 0, K = 0

• H = 1, K = 1

• H = 2, K = 2

• H = 3, K = 3

What is the axis of symmetry for the equation y = 3x^2?

• x = -1

• x = 0

• x = 1

• x = 2

How do you determine the next points to plot after finding the vertex in a parabola?

• By using a calculator

• By guessing

• By drawing random points

• By using a table of values

What happens to the graph of y = 3x^2 when A is greater than 1?

• It compresses horizontally

• It shifts to the left

• It stretches vertically

• It shifts to the right