Graphing Quadratic Equations

Graphing Quadratic Equations

Grade 10th Grade · Math · 90 min

What's Included

Learning Objective

I can graph quadratic functions of the form f(x)=ax² and describe how the 'a' value affects the shape of the graph.

Warm-Up Video

Khan Academy · 7:03

Graphing a parabola with a table of values | Quadratic equations | Algebra I | Khan Academy

Guided Notes

3 key concepts

  • 1

    The graph of f(x) = -3x² + 8 will be a parabola because the highest degree term is x².

  • 2

    Because the coefficient on the x² term is negative, the parabola will open downwards.

  • 3

    When x = 0, f(x) = 8, so the y-intercept, where x = 0, is at the point (0, 8).

Practice Questions

12 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Graph the quadratic functions f(x)=x² and f(x)=3x² on the same coordinate plane. How does the change in the 'a' value affect the shape of the graph?

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides