Complete the square to find the vertex and axis of symmetry

Complete the square to find the vertex and axis of symmetry

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of completing the square for quadratic equations. It begins by discussing the conditions under which completing the square is applicable, specifically when the coefficient of the quadratic term is 1. The tutorial then guides through the steps of creating a perfect square trinomial by factoring and adjusting terms. It further explains how to factor the trinomial into a binomial squared and simplifies the expression. Finally, the video demonstrates how to find the vertex and axis of symmetry of the quadratic equation.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to create a perfect square trinomial from the expression given in the text.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the number '3' in the context of completing the square?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the vertex of the quadratic equation after completing the square?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the axis of symmetry represent in the context of the quadratic function discussed?

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