Given the equation of a parabola in standard form, learn how to graph & identify the focus

The video tutorial explains how to graph a parabola by rearranging the equation, isolating variables, and identifying key components such as the center, focus, and directrix. It covers calculating the value of P, which determines the direction of the parabola, and demonstrates how to graph it accurately. The tutorial concludes with determining the focus and directrix, ensuring a comprehensive understanding of the graphing process.

What is the first step in rearranging the equation to isolate y?

• Multiply both sides by 3

• Divide both sides by 5

• Subtract 5X from both sides

• Add 5X to both sides

In the general form of a parabola, what does the variable P represent?

• The distance from the vertex to the directrix

• The distance from the center to the vertex

• The distance from the focus to the directrix

• The distance from the vertex to the focus

What is the center of the parabola in this example?

• (0, 0)

• (3.75, 0)

• (0, 3.75)

• (-3.75, 0)

Which direction does the parabola open if P is positive?

• Upwards

• Downwards

• To the left

• To the right

What is the equation of the directrix for this parabola?

• y = -3.75

• y = 3.75

• x = 3.75

• x = -3.75