Exploring Vertex Form and Quadratic Graphs

The video tutorial explains how to graph parabolas using a table of values and the vertex. It covers the role of the coefficient 'a' in determining the pattern of the graph, including reflections over the x-axis and vertical stretches or shrinks. The tutorial also discusses the domain and range of parabolas and provides practical examples to reinforce the concepts.

What is the coefficient 'a' in the parent graph of y = x²?

• 1

• 2

• -1

• 0

If the vertex of a parabola is at (0,0) and 'a' is -1, what happens to the y-values when you move one unit away from the vertex?

• They rise by 4 units

• They fall by 1 unit

• They rise by 1 unit

• They fall by 4 units

For a parabola with 'a' equal to 2, how much does the y-value change when moving two units away from the vertex?

• 8 units

• 6 units

• 4 units

• 2 units

When 'a' is 1/2, how much does the y-value rise when moving one unit away from the vertex?

• 1/2 unit

• 1 unit

• 2 units

• 4 units

What is the pattern for the rise in y-values when moving two units away from the vertex?

• 4a

• 3a

• 2a

• 5a

How does the value of 'a' affect the vertical stretch or shrink of a parabola?

• It determines the domain

• It determines the vertical shift

• It determines the horizontal shift

• It determines the reflection over the x-axis

For a parabola with vertex (3, -2) and 'a' equal to 2, what is the rise when moving one unit to the right?

• 8 units

• 2 units

• 6 units

• 4 units

What is the domain of every parabola?

• Negative infinity to positive infinity

• Negative infinity to zero

• Zero to positive infinity

• Negative infinity to the vertex

For a downward facing parabola with vertex (h, k), what is the range?

• Negative infinity to k

• k to positive infinity

• Negative infinity to zero

• Zero to positive infinity

When graphing a parabola, what should you do if you get confused?

• Ignore the vertex

• Use a different equation

• Change the value of 'a'

• Go back to a table of values