Graphing Quadratics in Vertex Form

The video tutorial covers graphing quadratic equations in vertex form, explaining the concept of parabolas and symmetry. It provides multiple examples, each demonstrating how to identify the vertex, plot points, and reflect them across the axis of symmetry. The tutorial also discusses domain and range, emphasizing the importance of transformations and the order of operations.

What is the highest exponent in a quadratic equation?

• 1

• 2

• 3

• 4

What shape does the graph of a quadratic equation form?

• Parabola

• Hyperbola

• Ellipse

• Circle

In the equation y = -3(x + 1)^2, what is the vertex?

• (1, 0)

• (-1, 0)

• (0, 1)

• (0, -1)

For the equation y = -3(x + 1)^2, what is the axis of symmetry?

• x = 1

• y = 1

• x = -1

• y = -1

In the equation f(x) = 2(x - 2)^2 + 5, what is the vertex?

• (-2, 5)

• (2, -5)

• (-2, -5)

• (2, 5)

What is the range of the function f(x) = 2(x - 2)^2 + 5?

• y ≥ 5

• y ≤ 5

• y ≤ -5

• y ≥ -5

For the equation f(x) = 3x^2 + 4, what is the vertex?

• (0, 4)

• (4, 0)

• (0, -4)

• (-4, 0)

In the equation g(x) = - (x + 4)^2 - 1, what is the vertex?

• (-4, 1)

• (-4, -1)

• (4, -1)

• (4, 1)

For the equation y = 0.5(x - 3)^2 + 2, what is the vertex?

• (-3, 2)

• (-3, -2)

• (3, 2)

• (3, -2)

What is the range of the function y = 0.5(x - 3)^2 + 2?

• y ≤ -2

• y ≥ 2

• y ≤ 2

• y ≥ -2