Given the vertex and focus learn to write the equation of the parabola in standard form

The video tutorial explains how to write the standard form of a parabola's equation. It begins by plotting the vertex and focus, determining the parabola's direction, and using these points to formulate the equation. The tutorial then demonstrates solving the equation by expanding and simplifying it, resulting in the standard form of the parabola.

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

• Calculate the distance between the vertex and focus

• Plot the vertex and focus

• Solve for Y

• Determine the axis of symmetry

How can you determine the direction in which a parabola opens?

• By solving the quadratic equation

• By finding the axis of symmetry

• By calculating the value of P

• By plotting the focus relative to the vertex

What does the value of P represent in the context of a parabola?

• The distance from the vertex to the focus

• The vertex coordinates

• The direction of the parabola

• The axis of symmetry

Which equation is used for a parabola with a vertical axis of symmetry?

• Y - K^2 = 4P(X - H)

• X - H^2 = 4P(Y - K)

• X = a(Y - K)^2 + H

• Y = a(X - H)^2 + K

What is the final step in solving for Y in the standard equation of a parabola?

• Plotting the vertex

• Applying the distributive property

• Dividing by the coefficient of Y

• Expanding the quadratic