Exercises for Question Type 9: Converting quadratics into the vertex form

Question 1

Skill question

Convert $y = x^{2} + 6 x + 5$ into vertex form.

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Question 2

Skill question

Expand $y = 5 (x - 2)^{2} + 3$ into standard form $a x^{2} + b x + c$ .

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Question 3

Skill question

Convert $y = x^{2} - 4 x + 7$ into vertex form.

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Question 4

Skill question

Convert $y = - x^{2} + 8 x - 5$ into vertex form.

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Question 5

Skill question

Expand $y = 2 (x - \frac{1}{2})^{2} - 5$ into the form $y = a x^{2} + b x + c$ .

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Question 6

Skill question

Convert $y = 2 x^{2} - 10 x + 12$ into vertex form.

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Question 7

Skill question

Expand $y = - 3 (x + 4)^{2} + 2$ into standard form.

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Question 8

Skill question

Convert $y = \frac{1}{2} x^{2} - 3 x + 1$ into vertex form.

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Question 9

Skill question

Write the vertex form of the parabola with vertex $(3, - 2)$ and leading coefficient $a = 4$ .

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Question 10

Skill question

Convert $y = 3 x^{2} + 12 x + 7$ into vertex form.

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Question 11

Skill question

This question assesses the ability to convert a quadratic function from standard form to vertex form by completing the square.

Convert $y = - 2 x^{2} + 12 x - 18$ into vertex form.

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Question 12

Skill question

Express $y = 4 x^{2} - 16 x + 3$ in vertex form.

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IB Mathematics Applications & Interpretation Question Type 9: Converting Quadratics Into the Vertex Form Exercises