Converting to vertex form and identifying the vertex

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

• Add a constant to both sides

• Factor out the coefficient of the quadratic term

• Divide the equation by the linear term

• Multiply the equation by a constant

Why is it not necessary to factor out the constant term when completing the square?

• It is already in vertex form

• It affects the axis of symmetry

• It changes the vertex

• It simplifies the calculation

How do you determine the perfect square trinomial from a quadratic equation?

• Divide the linear term by the quadratic term

• Add the square of half the linear coefficient

• Subtract the square of the constant term

• Multiply the quadratic term by two

What is the axis of symmetry for the quadratic equation in vertex form?

• The coefficient of the quadratic term

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• The constant term

How can you tell if a parabola opens upwards?

• The vertex is at the origin

• The constant term is positive

• The linear coefficient is negative

• The leading coefficient is positive