Graph Transformations and Effects

The video tutorial explains how to graph quadratic functions in vertex form by identifying key components such as a, h, and k. It covers finding the axis of symmetry, determining the vertex, and understanding the graph's opening direction based on the value of a. The tutorial also discusses graph shape, reflection, and provides tips for graphing using transformations.

What are the components you need to identify in vertex form?

• p, q, r

• x, y, z

• a, h, k

• a, b, c

In vertex form, what does the 'h' represent?

• The y-coordinate of the vertex

• The y-intercept

• The x-coordinate of the vertex

• The slope

What is a common mistake students make when identifying 'h'?

• Using it as the y-intercept

• Ignoring it

• Thinking it is negative

• Confusing it with 'k'

How do you determine the axis of symmetry in vertex form?

• y = a

• x = h

• y = k

• x = a

What is the vertex of a graph in vertex form?

• (a, k)

• (h, k)

• (a, h)

• (k, h)

What is the significance of the vertex in graphing?

• It is the midpoint

• It is the turning point

• It is the lowest point

• It is the highest point

What does the term 'axis of symmetry' refer to?

• A line that divides the graph into two equal parts

• A line that shifts the graph

• A line that reflects the graph

• A line that stretches the graph

How do you find the vertex from the equation in vertex form?

• By identifying 'a' and 'b'

• By identifying 'h' and 'k'

• By identifying 'x' and 'y'

• By identifying 'p' and 'q'

What is the significance of the vertex in a parabola?

• It is the starting point

• It is the midpoint

• It is the maximum or minimum point

• It is the endpoint

If 'a' is negative in vertex form, which direction does the graph open?

• Downwards

• To the left

• To the right

• Upwards