Vertex max or max using completing the square

The video tutorial explains the process of completing the square by creating a perfect square trinomial. It begins with an introduction to the concept of creating a square and the conditions needed for a perfect square trinomial. The tutorial then details the steps to form a perfect square trinomial, including grouping terms and using standard form. It further explains how to simplify the expression into vertex form and identify the vertex. Finally, it discusses the importance of balancing equations by adding and subtracting terms on both sides.

What is the requirement for the first and last terms in completing the square?

• They must be square numbers.

• They must be prime numbers.

• They must be even numbers.

• They must be negative numbers.

How do you create a perfect square trinomial?

• By adding a constant to the equation.

• By multiplying the middle term by 3.

• By subtracting the last term from the first.

• By grouping the first two terms and adjusting the equation.

What must you do when you add a number to one side of an equation?

• Multiply the other side by 2.

• Divide the other side by 2.

• Subtract the same number from the other side.

• Add the same number to the other side.

What is the vertex form of an equation?

• A form where the equation is expressed as a linear equation.

• A form where the equation is expressed as a binomial squared.

• A form where the equation is expressed as a single trinomial.

• A form where the equation is expressed as a product of two binomials.

What is the significance of the vertex in a quadratic equation?

• It determines the maximum or minimum point of the graph.

• It indicates the slope of the graph.

• It represents the x-intercept of the graph.

• It shows the y-intercept of the graph.