MathIsimple

Quadratic Functions

Explore quadratic functions! Learn about parabolas, vertex form, axis of symmetry, zeros, and maximum/minimum values.

9th Grade
Functions
~60 min
🎮 Interactive Activity: Vertex Finder

Find the vertex of a quadratic function!

Function: f(x) =

1x² -4x +3
🎮 Interactive Activity: Parabola Features

Analyze quadratic function features!

Vertex Form: f(x) =

1(x - 2)² + 3
1. Standard Form & Parabolas

Standard Form: f(x) = ax² + bx + c

A quadratic function graphs as a parabola. The coefficient a determines the direction and width.

Key Features:
  • a > 0: Parabola opens upward (U-shaped), has minimum
  • a < 0: Parabola opens downward (∩-shaped), has maximum
  • |a| large: Narrow parabola
  • |a| small: Wide parabola
2. Vertex Form
3. Axis of Symmetry
4. Zeros & Maximum/Minimum
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 are the zeros of y = (x - 2)(x - 5)?
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