How to write the standard form of a parabola

The video tutorial explains how to write the standard form of a parabola equation. It begins by identifying the vertex and axis of symmetry, then determines the parabola's orientation. The instructor uses a horizontal equation and a given point to solve for P, ultimately finalizing the standard form of the equation as y^2 = 9x.

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

• Calculating the focus

• Identifying the vertex

• Drawing the parabola

• Finding the axis of symmetry

Which equation is used for a horizontal parabola with a vertex at (0,0)?

• y = mx + b

• x = ay^2 + bx + c

• x^2 = 4py

• y^2 = 4px

How do you determine the value of 'P' in the parabola's equation?

• By using the vertex coordinates

• By measuring the width of the parabola

• By substituting a given point on the parabola

• By calculating the distance between the focus and directrix

What happens to the '4' in the equation y^2 = 4 * 9/4 * x?

• It remains unchanged

• It is added to x

• It cancels out

• It is multiplied by 9

What is the final standard form of the parabola given in the problem?

• x^2 = 4y

• y^2 = 4x

• x^2 = 9y

• y^2 = 9x