Quadratic Vertex
MATHEMATICS
Quadratic Vertex
Find a parabola’s vertex and whether it opens upward or downward.
UNDERSTAND YOUR RESULT
How it works
Find a parabola’s vertex and whether it opens upward or downward.
THE CALCULATIONvertex x = −b/(2a); vertex y = ax²+bx+c
Using this calculator
Enter a in ax²+bx+c, b in ax²+bx+c, c in ax²+bx+c. vertex x = −b/(2a); vertex y = ax²+bx+c.
What to keep in mind
Finite real numbers unless a complex or exact-integer result is specified. Outputs are rounded for display. Matrix calculations use floating-point arithmetic.
Frequently asked questions
Are my entries saved?
No. Calculator inputs remain in the current page and are cleared when you reload or leave. The tools do not upload your entries.
Why are results rounded?
The display is rounded for readability. Calculations use unrounded intermediate values. An estimate should not be interpreted as an exact measurement.