Learn to graph a parabola by completing the square and determine the focus & directrix

The video tutorial explains how to graph a parabola by first converting the equation into a standard form through completing the square. It covers identifying the vertex, focus, and directrix, and demonstrates how to graph the parabola using these elements.

What is the first step in converting the given equation into a standard form?

• Divide by 2

• Multiply by 4

• Add 9 to both sides

• Complete the square

When completing the square, what value is added to both sides of the equation?

• 1

• 9

• 4

• 2

What is the vertex of the parabola in the given equation?

• (2, 1)

• (1, 2)

• (0, 0)

• (3, 1)

How is the focus of the parabola determined from the vertex?

• Move left by P

• Move right by P

• Move down by P

• Move up by P

What is the equation of the directrix for the parabola?

• y = 2

• y = 1

• x = 1

• x = 2