Quadratic Graph Calculator
Graph a parabola from a, b, c and read its vertex, axis of symmetry, roots, and y-intercept.
Graph y = ax^2 + bx + c
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Answer
Vertex (1, -4)
- a > 0, so the parabola opens upward.
- Vertex: (1, -4).
- Axis of symmetry: x = 1.
- Y-intercept: (0, -3).
- Real roots: x = -1 and x = 3.
How to use the quadratic graph calculator
Enter the coefficients a, b, and c to plot y = ax^2 + bx + c. The graph labels the vertex, axis of symmetry, real roots, and y-intercept so the picture matches the algebra.
- Enter the coefficients a, b, and c.
- Read the vertex, axis of symmetry, roots, and y-intercept on the graph.
- Use the quadratic equation calculator for exact roots and steps.
Formula or method
A quadratic function has the form y = ax^2 + bx + c.
Worked examples
Graph y = x^2 - 2x - 3
Problem: a = 1, b = -2, c = -3
Solution: The vertex is (1, -4), the axis of symmetry is x = 1, and the curve crosses at x = -1 and x = 3.