Last updated on Oct 24, 2026

Completed Square Form (Leaving Cert Mathematics): Flashcards

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Completed Square Form

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Completed square form of a quadratic

$a(x-h)^2+k$

$(h,k)$ in form $a(x-h)^2+k$ represents

Vertex of the parabola

Standard form before completing the square

$ax^2+bx+c$

When to factor out $a$ when completing the square

When $a \ne 1$

Term added/subtracted to complete the square

$( rac{b}{2a})^2$

$2x^2+8x+3$ in completed square form

$2(x+2)^2-5$

Vertex of $y=2x^2+8x+3$

$(-2,-5)$

Factor out first from $2x^2+8x+3$

$2$

$( rac{b}{2a})^2$ for $x^2+4x$ equals

$4$

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Quadratic Sequences

Completed Square Form

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Quadratic Sequences

Completed Square Form

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Quadratic Sequences

Completed Square Form

Explore Leaving Cert Mathematics Exam Questions by Topics

Quadratic Sequences

Completed Square Form

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