Graphing Quadratic Equations
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Objective
I can graph quadratic functions of the form f(x)=ax² and describe how the 'a' value affects the shape of the graph.
Part 1 of 4
Warm-up video
Khan Academy · 7:03Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 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).
Part 3 of 4
Practice
12 questions
What is the general form of a quadratic function?
If a > 0 in the quadratic function f(x) = ax², does the parabola open upwards or downwards?
Part 4 of 4
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?”
Sample answer included in the free materials
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