How to find the focus and directrix of a parabola

The video tutorial explains how to determine the center, focus, and directrix of a parabola in standard form. It begins by identifying whether the parabola is vertical or horizontal, then calculates the center using the formula H, K. The focus is found by adding the value of P to the Y-coordinate of the center, and the directrix is determined by subtracting P from the Y-coordinate. The tutorial emphasizes understanding the relationship between the components and provides a step-by-step guide to solving the problem.

What is the first step in determining the properties of a parabola?

• Finding the directrix

• Identifying if it's vertical or horizontal

• Calculating the focus

• Determining the vertex

How do you find the value of P in the context of a parabola?

• By setting it equal to the Y-coordinate

• By dividing the constant term by 4

• By adding it to the X-coordinate

• By subtracting it from the center

What is the formula for finding the focus of a vertical parabola?

• H, K + P

• H + P, K

• H, K - P

• H - P, K

How is the directrix of a vertical parabola expressed?

• As a point

• As a curve

• As a vertical line

• As a horizontal line

What is the relationship between the focus and directrix in a parabola?

• They are both points

• The focus is a line and the directrix is a point

• The focus is a point and the directrix is a line

• They are both lines