Back to Quadratic Relations
Vertex form by completing the square
Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.
Learn it To get vertex form from $x^2 + bx + c$: take half of b, square it, add and subtract it, then write the perfect square.
Example: Write $y = x^2 + 6x + 2$ in vertex form.
- Half of 6 is 3, and $3^2 = 9$.
- $y = (x^2 + 6x + 9) - 9 + 2$.
- $y = (x + 3)^2 - 7$. Vertex (−3, −7).
Loading questions…