Complete the square to identify the vertex, axis, domain and range of a quadratic equation

The video tutorial explains how to solve a quadratic equation by completing the square. It covers the steps of grouping terms, factoring to make A equal to 1, finding the value C to complete the square, adding and subtracting values, and writing the equation as a binomial squared. The tutorial also discusses identifying the vertex and axis of symmetry, and determining the domain and range of the graph.

What is the first step in solving the quadratic equation in the given example?

• Completing the square

• Grouping the terms

• Identifying the axis of symmetry

• Finding the vertex

Why is it necessary to factor out a negative one in the given problem?

• To make the leading coefficient equal to one

• To simplify the equation

• To find the axis of symmetry

• To ensure the leading coefficient is positive

How do you find the value that completes the square?

• Multiply the linear coefficient by 2 and square it

• Divide the constant term by 2 and square it

• Divide the linear coefficient by 2 and square it

• Add the constant term to the linear coefficient

What must be done to maintain equation equivalence when adding and subtracting a value?

• Divide the value by the factored number

• Multiply the value by the factored number

• Subtract the value from both sides of the equation

• Add the value to both sides of the equation

How is the expression written as a binomial squared?

• By multiplying the terms by the leading coefficient

• By subtracting the square of the linear coefficient

• By using the formula X + B/2 squared

• By adding the square of the constant term

What is the vertex of the quadratic equation in the example?

• (-3, -3)

• (3, 3)

• (6, 6)

• (0, 0)

What is the range of the quadratic function discussed in the example?

• [0, ∞)

• [3, ∞)

• (-∞, 3]

• (-∞, ∞)