Completing the square to convert between quadratic and vertex form

Completing the square to convert between quadratic and vertex form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to convert a quadratic equation into vertex form by completing the square. It begins with an introduction to vertex form and the necessity of completing the square. The instructor then demonstrates factoring out a coefficient and adjusting terms to maintain equation balance. Finally, the tutorial concludes with the final steps to achieve vertex form and identify the vertex, emphasizing the importance of maintaining equation integrity throughout the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting a quadratic equation to vertex form?

Factor out the constant term

Set the equation equal to zero

Multiply the equation by a constant

Set the equation equal to y

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When completing the square, what should you do if the leading coefficient is not 1?

Add a constant to both sides

Factor out the leading coefficient

Ignore the leading coefficient

Multiply the entire equation by the leading coefficient

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you create a perfect square trinomial from the expression x^2 - 6x?

Add and subtract 9

Add and subtract 12

Add and subtract 3

Add and subtract 6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex of the equation y = -3(x - 3)^2 + 6?

(-3, 6)

(-3, -6)

(3, 6)

(3, -6)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What transformation occurs to the graph of the equation y = -3(x - 3)^2 + 6?

Vertical stretch and shift

Reflection over the y-axis

Reflection over the x-axis and horizontal compression

Horizontal stretch and shift