Completing the Square (AQA GCSE Maths): Flashcards

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Completing the square
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Completed square form

(x+m)2+n(x + m)^2 + n

Turning point from (x+m)2+n(x + m)^2 + n

(m,n)(-m, n)

Value in bracket when a=1a = 1?

b2\frac{b}{2} (divide coefficient of xx by 2)

When solving, what to include after square rooting?

±\pm (both positive and negative solutions)

When a1a \neq 1, first step?

Factor out the coefficient of x2x^2

Value in bracket when a1a \neq 1?

b2a\frac{b}{2a}

Turning point x-coord from (x+m)2+n(x + m)^2 + n?

x=mx = -m

Positive nn for positive quadratic means?

Graph never crosses x-axis

Shortcut formula for adjusting number?

c(b2)2c - \left(\frac{b}{2}\right)^2

What does adjusting number compensate for?

Difference between expanded bracket and original expression

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