Graphing Quadratic Equations
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.
Key Concepts
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 Questions
This lesson includes 12 practice questions to reinforce learning.
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1. What is the general form of a quadratic function?
2. If a > 0 in the quadratic function f(x) = ax², does the parabola open upwards or downwards?
3. How does the absolute value of 'a' in f(x) = ax² affect the width of the parabola?
...and 9 more questions
Educational Video
Graphing a parabola with a table of values | Quadratic equations | Algebra I | Khan Academy
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