Education
Quadratic equation grapher
Graph a parabola and calculate its vertex and real roots.
Enter a, b, and c for y = ax² + bx + c. The coefficient a cannot be zero.
Example
For y = x² − 3x + 2, the roots are 1 and 2, and the vertex is (1.5, −0.25).
Current function: f(x): 1x² − 1x − 5
Main function
- Discriminant
- 21
- Vertex
- (0.5, -5.25)
- Real roots
- -1.791, 2.791
- Y-intercept
- (0, -5)
Solution steps
- Calculate the discriminant: Δ = b² − 4ac = 21.
- There are two distinct real roots: -1.791, 2.791.
- The vertex is: (0.5, -5.25).