Complete the square to write the equation from standard form to vertex form

Complete the square to write the equation from standard form to vertex form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial focuses on the process of completing the square, specifically converting quadratic equations from standard form to vertex form. The instructor emphasizes the importance of making the coefficient 'a' equal to 1 by factoring out terms. The tutorial includes examples and clarifies that the main objective is not factoring itself but ensuring 'a' equals 1. The final step involves calculating the value of 'B' to complete the square, using the formula B/2 squared.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of the lesson on completing the square?

Completing the square

Converting from vertex form to standard form

Solving quadratic equations

Identifying the vertex

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in completing the square when 'a' is not equal to 1?

Subtract a constant from both sides

Multiply the equation by a constant

Factor out the coefficient of the quadratic term

Add a constant to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to factor out the coefficient of the quadratic term?

To eliminate the linear term

To find the vertex

To simplify the equation

To make 'a' equal to 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the value 'B' that completes the square?

Divide the linear coefficient by 2 and square it

Subtract the linear coefficient from the quadratic term

Add the linear coefficient to the quadratic term

Multiply the linear coefficient by 2 and square it

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the formula B/2 squared to the linear coefficient?

The vertex of the quadratic

The constant term in the equation

The solution to the quadratic equation

The value that completes the square