Completing the square to transform from standard to vertex form

The video tutorial covers the concept of square trinomials, starting with an introduction and moving through the process of factoring and grouping terms. It explains how to create a perfect square trinomial and discusses the importance of equation equality and justification. The tutorial concludes with final steps to complete the perfect square trinomial, emphasizing the need for careful calculation and understanding of mathematical principles.

What is the first step in determining if an expression is a perfect square trinomial?

• Check if the first term is a square term.

• Factor out the middle term.

• Add a constant to the expression.

• Multiply the last term by 2.

How do you complete the square for a trinomial?

• Multiply the first term by 2.

• Divide the middle term by 2 and square it.

• Subtract the last term from the first term.

• Add the square of the last term to the expression.

Why is it important to correctly handle the multiplication and subtraction of terms within parentheses?

• To ensure the expression remains a binomial.

• To maintain the balance of the equation.

• To avoid changing the sign of the expression.

• To ensure the correct formation of a perfect square trinomial.

What is the vertex of the quadratic expression formed in the final section?

• (2, 7)

• (7, 2)

• (-2, 7)

• (2, -7)

What does the negative sign in the expression indicate about the direction of the parabola?

• It is a horizontal parabola.

• It opens upwards.

• It opens downwards.

• It has no effect on the direction.