Graphing a qudratic by converting to vertex form

The video tutorial explains how to convert a quadratic equation into vertex form by completing the square. It covers the steps to create a perfect square, identify the vertex, and graph the quadratic equation. The tutorial emphasizes the importance of understanding transformations and the relationship between points on the graph.

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

• Multiply by the leading coefficient

• Complete the square

• Factor out the leading coefficient

• Add a constant to both sides

When completing the square, what must be true about the leading coefficient?

• It must be zero

• It must be one

• It must be negative

• It must be positive

What is a common mistake when completing the square?

• Multiplying the constant by the wrong number

• Not adjusting for the added constant

• Not factoring out the leading coefficient

• Forgetting to add the constant to both sides

How do you determine the direction in which a parabola opens?

• By the sign of the vertex

• By the distance between the vertex and the origin

• By the value of the constant term

• By the sign of the leading coefficient

What is the relationship between the points when graphing a quadratic in vertex form?

• Over two, down four

• Over one, up one

• Over one, down one

• Over two, up four