Completing the Square (Edexcel A-Level Mathematics): Quizzes

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Completing the Square
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12 questions from this quiz

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What is the expanded form of (x+3)2(x + 3)^2?

x2+6x+9x^2 + 6x + 9

Write x2+12xx^2 + 12x in the form (x+a)2+b(x + a)^2 + b.

(x+6)2−36(x + 6)^2 - 36

Complete the square for x2+18x−3x^2 + 18x - 3.

(x+9)2−84(x + 9)^2 - 84

When completing the square for x2+6xx^2 + 6x, what must be subtracted?

99

Write x2+3x−10x^2 + 3x - 10 in the form (x+a)2+b(x + a)^2 + b.

(x+32)2−494(x + \frac{3}{2})^2 - \frac{49}{4}

Complete the square for 2x2+12x−12x^2 + 12x - 1.

2(x+3)2−192(x + 3)^2 - 19

Write −x2+10x−5-x^2 + 10x - 5 in the form a(x+b)2+ca(x + b)^2 + c.

−(x−5)2+20-(x - 5)^2 + 20

For y=(x+2)2+3y = (x + 2)^2 + 3, what is the x-coordinate of the vertex?

−2-2

For y=(x−32)2+74y = (x - \frac{3}{2})^2 + \frac{7}{4}, what is the minimum value of yy?

74\frac{7}{4}

Find the vertex of y=x2+6x−10y = x^2 + 6x - 10.

(−3,−19)(-3, -19)

For the curve y=3x2+12x+7y = 3x^2 + 12x + 7, what is the line of symmetry?

x=−2x = -2

For y=x2−3x+4=(x−32)2+74y = x^2 - 3x + 4 = (x - \frac{3}{2})^2 + \frac{7}{4}, what is the tangent at the vertex?

y=74y = \frac{7}{4}

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