Complete the square to find the vertex and determine absolute max or min

The video tutorial explains the concept of vertex form and its relation to binomial squares. It discusses perfect square trinomials and the process of completing the square to create them. The tutorial guides through factoring and balancing equations, concluding with identifying the vertex and understanding the graph's properties.

What is a key characteristic of vertex form in relation to binomial squares?

• It cannot be factored.

• It is unrelated to binomial squares.

• It is a binomial squared.

• It is always a linear equation.

What is the purpose of completing the square in an equation?

• To simplify the equation.

• To create a perfect square trinomial.

• To find the derivative.

• To eliminate the variable.

Which step is crucial in the process of completing the square?

• Multiplying the entire equation by two.

• Adding a new variable.

• Dividing the middle term by two and squaring it.

• Subtracting the constant term.

After completing the square, what form does the equation take?

• Quadratic form

• Linear form

• Vertex form

• Standard form

What is the vertex of the equation after completing the square in the example?

• (-1, 4)

• (1, -4)

• (0, 0)

• (4, -1)