Graphing Quadratic Equations

10th GradeMath90 min

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.

Lesson Flow

Watch Video

8 min

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

Khan Academy

Guided Notes

18 min

Key concepts students will learn:

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

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

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

Practice

27 min

12 questions • Multiple choice & Short answer

Exit Ticket

5 min

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?

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts