Complete the square to graph a quadratic in vertex form

The video tutorial explains how to convert a quadratic equation into vertex form by completing the square. It covers the steps to ensure the quadratic term has a coefficient of 1, how to complete the square, and how to factor the resulting trinomial into a binomial squared. The tutorial also demonstrates how to identify the vertex and graph the function, discussing the graph's behavior and transformations.

What is the first step in converting a quadratic equation to vertex form?

• Subtract the constant term from both sides

• Add the constant term to both sides

• Ensure the coefficient of the quadratic term is 1

• Ensure the coefficient of the linear term is 1

How do you form a perfect square trinomial?

• Divide the quadratic term by 2

• Add and subtract (B/2)^2

• Multiply the linear term by 2

• Add and subtract the constant term

What is the vertex of the equation y = (x - 3)^2 - 7?

• (3, -7)

• (-3, 7)

• (3, 7)

• (-3, -7)

When does the graph of a quadratic equation open upwards?

• When the coefficient of x^2 is negative

• When the coefficient of x^2 is equal to 1

• When the coefficient of x^2 is greater than 1

• When the coefficient of x^2 is less than 1

What pattern does the graph follow if there is no stretching or shrinking?

• The pattern of the parent quadratic function

• The pattern of a cubic function

• The pattern of a linear function

• The pattern of an exponential function