Graphing Quadratic Functions: Test Review

This cycle, we explored quadratic functions and their graphs, focusing on two key forms: standard form and vertex form. This post is your one-stop resource for test preparation, covering vocabulary, graphing, and application problems. Remember, you've got this!

Key Vocabulary

Mastering the vocabulary is crucial. Click on each term below to access different resources and solidify your understanding:

Graphing Quadratic Functions

The test will require you to graph quadratic functions in both vertex and standard forms. Use the attached worksheet as a practice tool. It mirrors the test format and guides you through finding all necessary information for graphing. Remember, for vertex form, $(h, k)$ represents the vertex, and 'a' determines the direction and stretch of the parabola. In standard form the vertex can be calculated by finding $x = -b/2a$ and evaluating the function at that x value.

Worksheet: Graphing Worksheet (Print this out!)

Application Problems

This section tests your ability to apply quadratic functions to real-world scenarios. Here's a breakdown of common problem types:

  1. Writing a Quadratic Function from a Graph: The attached page, along with the linked video, will help you write a quadratic function in vertex form given its graph. The key is identifying the vertex $(h, k)$ and another point on the parabola to solve for 'a'. You can use the vertex form $f(x) = a(x-h)^2 + k$ to accomplish this.
  2. Initial Value: Finding where the graph or object starts is equivalent to determining the y-intercept. In standard form this is the value of $c$.
  3. Minimum or Maximum Value: This usually requires finding the vertex of the parabola. Remember that the x-coordinate of the vertex represents where the minimum or maximum occurs, and the y-coordinate represents the minimum or maximum value itself.
  4. Zeros/Roots: While not heavily emphasized on this test (as we'll cover it next cycle), remember that the zeros represent where the function equals zero, or where the parabola intersects the x-axis.

Attached Page: Writing Equations from Graphs

You've got the tools and resources to succeed! Remember to review past posts and practice consistently. Good luck on the test!