Graphing a parabola in vertex form with transformations and horizontal compression

The video tutorial explains how to identify the vertex of a quadratic equation in vertex form, emphasizing the importance of the opposite sign for the vertex. It discusses why distribution is unnecessary in vertex form and highlights the role of 'a' in determining reflection and graph orientation. The tutorial covers the axis of symmetry, slope, vertical stretch, and horizontal compression, providing methods to find points on the graph using symmetry and a table of values.

What is the vertex of the quadratic function given in the video?

• (0, 1)

• (0, -1)

• (1, 0)

• (-1, 0)

Why is the graph of the quadratic function reflected?

• Because the function is linear

• Because the 'A' value is negative

• Because the 'A' value is positive

• Because the vertex is at the origin

What does a vertical stretch indicate about the graph of a quadratic function?

• The graph is wider

• The graph is narrower

• The graph is unchanged

• The graph is reflected

How do you find additional points on a quadratic graph?

• By using the vertex form

• By using a table of values

• By using linear equations

• By reflecting over the y-axis

What is the next point on the graph after the vertex, as calculated in the video?

• (3, 12)

• (1, -2)

• (-1, 2)

• (-3, -12)