Quadratic Equation and Completing the Square

What is the first step in finding the maximum or minimum of a quadratic equation by completing the square?

• Add a constant to both sides of the equation

• Subtract the constant term from both sides

• Factor out the coefficient of the x term from the first two terms

• Multiply the entire equation by 2

How do you determine the value to add and subtract to form a perfect square trinomial?

• Double the coefficient of the x term

• Square the constant term

• Divide the coefficient of the x term by two and then square it

• Multiply the coefficient of the x term by itself

What is the result of factoring the perfect square trinomial in the equation?

• A constant value

• A quadratic equation in standard form

• A binomial squared

• A linear equation

What does the vertex form of a quadratic equation allow you to identify?

• The axis of symmetry

• The y-intercept

• The roots of the equation

• The vertex of the parabola

If the coefficient of the quadratic term is positive, what does it indicate about the parabola?

• The parabola opens upwards

• The parabola opens downwards

• The parabola has no vertex

• The parabola is a straight line