How to graph a quadratic using vertex formula and a table

The video tutorial covers graphing a quadratic equation by completing the square and finding the axis of symmetry. It explains how to determine the vertex and analyze the graph's direction. The tutorial emphasizes the importance of the axis of symmetry and vertex in graphing parabolas, and provides step-by-step calculations to find these elements. The video also discusses the reflection of the graph and how to determine if the vertex is a maximum or minimum point.

What is one method to convert a quadratic equation into vertex form?

• Using the Pythagorean theorem

• Finding the derivative

• Completing the square

• Using the quadratic formula

How do you find the axis of symmetry for a quadratic equation in standard form?

• By completing the square

• By finding the derivative

• By using the formula -B/2A

• By setting the equation to zero

What is the x-coordinate of the vertex if the axis of symmetry is x = -5?

• 10

• 0

• -5

• 5

What is the y-coordinate of the vertex if the x-coordinate is -5?

• -5

• 0

• -78

• -30

If a quadratic graph opens downward, what can be said about its vertex?

• It is at the origin

• It is neither a max nor a min

• It is a maximum point

• It is a minimum point

What pattern does a quadratic graph follow if there is no compression or stretching?

• Over one, up two; over two, up eight

• Over one, down one; over two, down four

• Over one, down two; over two, down eight

• Over one, up one; over two, up four

How can you find additional points on a quadratic graph using symmetry?

• By reflecting points across the origin

• By reflecting points across the y-axis

• By reflecting points across the x-axis

• By reflecting points across the axis of symmetry