📚 Topic Summary
Quadratic functions are polynomial functions with the highest degree of 2. They are often written in the form $f(x) = ax^2 + bx + c$, where $a$, $b$, and $c$ are constants and $a \neq 0$. Understanding how to identify the vertex, intercepts, and how to transform quadratic functions between different forms (standard, vertex, factored) is essential. This quiz helps you practice these skills through vocabulary, application, and critical thinking.
🧠 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Vertex |
A. The point where the parabola intersects the y-axis. |
| 2. Parabola |
B. The line that divides the parabola into two symmetrical halves. |
| 3. y-intercept |
C. The highest or lowest point on the parabola. |
| 4. Axis of Symmetry |
D. The point(s) where the parabola intersects the x-axis. |
| 5. x-intercept(s) |
E. The U-shaped curve representing a quadratic function. |
Match the term to the correct definition. For example: 1-C, 2-E, etc.
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words provided below:
A quadratic function's graph is called a __________. The standard form of a quadratic equation is $f(x) = ax^2 + bx + c$. The __________ is the highest or lowest point on the parabola, and the __________ is a vertical line passing through the vertex that divides the parabola into two symmetrical parts. The solutions to $f(x) = 0$ are called the _________ or roots of the quadratic equation. When $a > 0$, the parabola opens __________, and when $a < 0$, it opens __________.
Words: parabola, vertex, axis of symmetry, x-intercepts, upward, downward
💡 Part C: Critical Thinking
Explain how changing the value of 'a' in the quadratic equation $f(x) = ax^2 + bx + c$ affects the shape and direction of the parabola.