Graphing Quadratic Functions in Vertex Form: Your Video Guide!

Welcome to a helpful resource for understanding graphing quadratic functions, particularly when they're presented in vertex form. This post features video tutorials I've created to walk you through the examples in your packet. Let's conquer vertex form together!

Understanding Vertex Form

The vertex form of a quadratic function is given by:

$$f(x) = a(x - h)^2 + k$$

where:

  • $(h, k)$ represents the vertex of the parabola.
  • $a$ determines the direction the parabola opens (upwards if $a > 0$, downwards if $a < 0$) and the stretch or compression.

The videos below demonstrate how to use this form to quickly and accurately graph quadratic functions.

Video Tutorials

These videos are designed to accompany the examples in your packet. Watch them carefully, and don't hesitate to pause and rewind as needed.

Key Concepts Reinforced by the Videos:

  • Identifying the vertex from the equation. Remember $(h, k)$!
  • Determining the axis of symmetry: This is the vertical line $x = h$.
  • Finding additional points to sketch an accurate parabola. Use symmetry to your advantage!
  • Understanding the effect of 'a': Does the parabola open up or down? Is it stretched or compressed?

Discussion Question: Real-World Applications of Quadratic Functions

Quadratic functions aren't just abstract math! They appear in many real-world scenarios.

Discussion question of the day: Besides the classic bridge problem, can you find another application of quadratic functions? If I select your example, you'll get credit for that question on the test!

Good luck, and happy graphing!