MathIsimple

Quadratic Functions & Parabolas

Explore quadratic functions, their graphs (parabolas), and key features like vertex, axis of symmetry, and intercepts.

8th Grade
Algebra
~45 min
🎮 Interactive Activity: Parabola Explorer

Explore how parameters affect the parabola!

y = 1(x - 0)² + 0
🎮 Interactive Activity: Vertex Finder

Find the vertex of a quadratic function!

y = 1x² -4x +3
1. What is a Quadratic Function?

📚 Quadratic Function Definition

A quadratic function is a function of the form f(x) = ax² + bx + c, where a ≠ 0. Its graph is a parabola.

f(x) = ax² + bx + c

• a, b, c are constants (a ≠ 0)

• Graph is a parabola (U or ∩ shape)

• Has a vertex (maximum or minimum point)

2. Forms of Quadratic Functions
3. Key Properties of Parabolas
4. Graphing Parabolas
5. Transformations
6. Real-World Applications
7. Worked Examples
8. Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
What is the graph of a quadratic function called?
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2
What is the vertex of y = (x - 2)² + 3?
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3
If a > 0 in y = ax² + bx + c, the parabola:
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4
What is the axis of symmetry for y = x² - 4x + 3?
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5
What is the vertex of y = x² - 6x + 5?
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6
Which form shows the vertex directly?
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7
What happens to the parabola if |a| increases?
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8
What is the y-intercept of y = 2x² - 3x + 1?
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9
If a parabola opens downward, what is true about a?
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10
What is the maximum or minimum point of a parabola called?
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