Graphing Quadratics in Vertex Form

The video tutorial covers the topic of quadratics, focusing on graphing quadratic functions in vertex form. It begins with a review of key terms such as vertex, x-intercept, y-intercept, and axis of symmetry. The instructor then explains how to graph quadratic functions using vertex form, providing detailed examples and emphasizing the importance of using graph paper. The session concludes with homework instructions and offers support through email and Zoom for any questions.

Why is it important to use graph paper when working with quadratic functions?

• It makes the notes look neat.

• It saves paper.

• It helps in accurately graphing complex functions.

• It is a school requirement.

What is the shape created by a quadratic function called?

• Ellipse

• Hyperbola

• Parabola

• Circle

Which term refers to the maximum or minimum point of a parabola?

• X-intercept

• Y-intercept

• Vertex

• Axis of symmetry

What does the 'a' coefficient in the vertex form of a quadratic function control?

• The width and direction of the parabola

• The axis of symmetry

• The horizontal shift

• The vertical shift

In the vertex form y = a(x - h)^2 + k, what do 'h' and 'k' represent?

• The axis of symmetry

• The coefficients of x and y

• The x and y intercepts

• The coordinates of the vertex

If the vertex form of a quadratic function is y = 3(x - 2)^2 + 3, what is the vertex?

• (3, 2)

• (2, 3)

• (-2, 3)

• (2, -3)

What happens to the parabola if the 'a' value is negative?

• It opens downwards.

• It does not change.

• It opens upwards.

• It becomes a straight line.

When graphing y = 2(x + 1)^2 - 1, what is the first step?

• Identify the x-intercept

• Identify the vertex

• Identify the y-intercept

• Identify the axis of symmetry

In the equation y = -1/2(x - 2)^2 + 3, what is the direction of the parabola?

• Downwards

• Left

• Right

• Upwards

What is the homework assignment for today?

• Complete a worksheet on graphing

• Submit a picture of notes and complete IXL BB3

• Watch a video tutorial

• Read a chapter on quadratics