Graphing Quadratic Equations
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Objective
I can graph quadratic equations by identifying key features such as vertex, axis of symmetry, and intercepts.
Part 1 of 4
Warm-up video
Khan Academy · 4:41Vetted 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
To graph the equation y = 5x² - 20x + 15, first find where the parabola intersects the x-axis by setting y equal to 0.
- 2
To solve 5x² - 20x + 15 = 0, divide both sides by 5, factor the quadratic expression, and set each factor equal to 0 to solve for x.
- 3
The vertex of the parabola sits exactly between the roots, so substitute the x-coordinate of the vertex into the original equation to find the y-coordinate.
Part 3 of 4
Practice
10 questions
What are the x-intercepts of the quadratic equation y = (x - 2)(x + 3)?
The graph of a quadratic equation intersects the x-axis at x = -1 and x = 5. What is the x-coordinate of the vertex?
Part 4 of 4
Exit ticket
Quick comprehension check
“Find the x-intercepts and vertex of the quadratic equation y = 2x² - 8x + 6. Show your work.”
Sample answer included in the free materials
Get the materials
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Teacher Guide
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