Learn how to write the standard form of a parabola given the focus and directrix

What is the first step in writing the standard form of a parabola's equation?

• Identify the parabola's orientation

• Determine the axis of symmetry

• Calculate the distance between the focus and directrix

• Plot the vertex

Why is the axis of symmetry important in finding the vertex?

• It determines the parabola's width

• It passes through both the focus and the vertex

• It defines the parabola's height

• It helps in plotting the directrix

What is the relationship between the vertex, focus, and directrix?

• The vertex is equidistant from the focus and directrix

• The focus is twice the distance from the vertex as the directrix

• The directrix is always above the vertex

• The vertex is always below the focus

How do you determine the orientation of a parabola?

• By the direction of the axis of symmetry

• By the coordinates of the vertex

• By the distance between the focus and directrix

• By the length of the directrix

What is the equation used for a parabola with a horizontal axis of symmetry?

• Y - K = 4P(X - H)^2

• X - H = 4P(Y - K)^2

• Y - K^2 = 4P(X - H)

• X - H^2 = 4P(Y - K)

What is the result of expanding a binomial squared?

• A cubic equation

• A quadratic equation

• A perfect square trinomial

• A linear equation

What is the final step in writing the parabola's equation in standard form?

• Determining the axis of symmetry

• Calculating the vertex coordinates

• Plotting the focus and directrix

• Isolating x and reducing fractions