Graphing Quadratic Functions in Vertex Form

This video tutorial explains how to graph quadratic functions in vertex form without using a data table. It covers three examples, demonstrating how to find the vertex, plot points, and determine the axis of symmetry, domain, and range. The tutorial also discusses how the coefficient affects the graph's direction and width.

What is the vertex of the quadratic function given by (x - 2)^2 - 3?

• (2, -3)

• (-2, 3)

• (-2, -3)

• (2, 3)

How do you find the next point after the vertex when moving one unit to the right?

• Go up by 1 unit

• Go up by 2 units

• Go down by 1 unit

• Go down by 2 units

What is the range of the quadratic function (x - 2)^2 - 3?

• (-∞, -3]

• [-3, ∞)

• (-3, ∞)

• (-∞, ∞)

What is the axis of symmetry for the function (x - 2)^2 - 3?

• x = 3

• x = -2

• x = -3

• x = 2

For the function -2(x + 1)^2 - 5, what is the vertex?

• (1, 5)

• (1, -5)

• (-1, -5)

• (-1, 5)

How does the graph of -2(x + 1)^2 - 5 change when moving one unit to the right?

• Go up by 2 units

• Go down by 1 unit

• Go down by 2 units

• Go up by 1 unit

What is the minimum value of the function -2(x + 1)^2 - 5?

• -2

• 5

• 2

• -5

For the function -3(x - 1)^2 + 9, what is the vertex?

• (1, 9)

• (-1, -9)

• (-1, 9)

• (1, -9)

How does the graph of -3(x - 1)^2 + 9 change when moving one unit to the right?

• Go up by 1 unit

• Go down by 1 unit

• Go up by 3 units

• Go down by 3 units

What is the maximum value of the function -3(x - 1)^2 + 9?

• -9

• 9

• 1

• 3