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Rewrite the quadratic function using the method of completing the square.

Author: shiroeExecutions: 18414
TOP/Shared Formulas (Math)/General Math

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We will perform calculations related to quadratic functions.
We will perform calculations to transform y = ax² + bx + c into y = a(x - p)² + q.
Enter a non-zero number for a. If you enter 0, it will be converted to a=1.
Enter a, b, and c.
Calculate p and q. The rest is for reference only.
a
b
c
a's adopted value The value adopted for b Adopted values for c 
p (equal to the x-coordinate of the vertex) 
q (equal to the y-coordinate of the vertex) 
The numerical value of discriminant D 
The numerical value of -b/2a 
- The value of D/4a 
Ver. R4 (2022). 10/23 (Sun)_test-heihoukansei_001. Fixed.
Ver. R4 (2022). 10/23 (Sun)_test-heihoukansei_002. Pilot version.
R6 (2024). 10/04 (Fri)_Revised. Displays 10 digits. Digit count can be changed. Real number calculation mode.

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Although we’re using the standard formula here, there seem to be various tips and tricks for exam-style math.

Reference:
There appear to be many videos on YouTube as well; for example:
https://www.youtube.com/
Video Lessons: Try IT
[High School Math I] Quadratic Functions 14: Completing the Square 2 (14 minutes)
and others.

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