Learn to complete the square step by step

The video tutorial explains the conversion between standard and vertex forms of quadratic equations. It covers the concept of binomial squares and perfect square trinomials, providing a step-by-step guide to creating perfect square trinomials. The process of completing the square is demonstrated with examples, and the tutorial concludes with converting equations to vertex form and understanding graph transformations.

What is the standard form of a quadratic equation?

• a * X^2 + b * X + c

• a * X - H^2 + K

• a * X^2 - b * X + c

• a * X + b * X^2 + c

How do you identify a perfect square trinomial?

• The middle term is a square number.

• All terms are even numbers.

• The first and last terms are square numbers.

• The first term is a prime number.

What is the first step in completing the square?

• Add and subtract the same number.

• Group the quadratic and linear terms.

• Factor out the greatest common factor.

• Square the linear coefficient.

When completing the square, what do you do with B?

• Subtract it from the quadratic term.

• Add it to the constant term.

• Multiply it by 2 and subtract it.

• Divide it by 2 and square it.

What is the vertex of the equation in vertex form?

• (C, D)

• (X, Y)

• (A, B)

• (H, K)

What is the axis of symmetry in vertex form?

• Y = K

• X = A

• Y = B

• X = H

What is the domain of a parabola in vertex form?

• Finite range

• Negative infinity to infinity

• Zero to infinity

• Negative infinity to zero