The video tutorial explains how to graph a quadratic equation in vertex form, y = a(x-h)^2 + k. It covers identifying the axis of symmetry, which is x = h, and the vertex, which is (h, k). The tutorial emphasizes the importance of understanding the value of 'a' in determining the graph's shape and direction. It also provides tips on graphing without a table of values by using transformations and reflections.

What is the axis of symmetry for the equation y = (x - 2)^2 + 2?

• x = -2

• x = 2

• x = 0

• x = 4

How do you determine the vertex of the equation y = (x - 2)^2 + 2?

• By using the values of h and k in the vertex form

• By setting y to zero and solving for x

• By finding the midpoint of the x-intercepts

• By finding the maximum or minimum point of the graph

What is the vertex of the equation y = (x - 2)^2 + 2?

• (0, 0)

• (2, 0)

• (2, 2)

• (0, 2)

What does the 'a' value in the vertex form y = a(x - h)^2 + k determine?

• The horizontal shift of the graph

• The vertical shift of the graph

• The direction and width of the parabola

• The x-intercepts of the graph

If the 'a' value is positive, in which direction does the parabola open?

• Downward

• Upward

• To the left

• To the right

How do you find the next point on the graph after the vertex?

• By moving over one unit and up one unit

• By moving over two units and up two units

• By moving over two units and down two units

• By moving over one unit and down one unit

Why does the graph move over one, up one, and over two, up four?

• Because of the horizontal shift

• Because of the vertical shift

• Because of the parent graph's pattern

• Because of the axis of symmetry