Complete the square to find the vertex and axis of symmetry

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.

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

• Divide the equation by 'b'

• Multiply the equation by 2

• Factor out the coefficient 'a'

• Add a constant to both sides

How do you create a perfect square trinomial from a quadratic expression?

• Divide the coefficient of 'x' by 2

• Multiply the constant term by 2

• Add the square of half the coefficient of 'x'

• Subtract the square of the constant term

Why is it necessary to subtract the same value outside the parentheses when completing the square?

• To eliminate the constant term

• To simplify the equation

• To maintain the balance of the equation

• To factor the equation

What is the benefit of converting a quadratic expression into a perfect square trinomial?

• It reduces the degree of the polynomial

• It eliminates the variable 'x'

• It allows factoring into a binomial squared

• It simplifies the equation

How is the axis of symmetry of a quadratic equation determined?

• By setting the equation to zero

• By using the x-coordinate of the vertex

• By calculating the average of the roots

• By finding the y-intercept