Learn to write the equation of a parabola given the focus and vertex at the origin

The video tutorial explains how to write the equation of an ellipse given the focus and vertex. It begins by identifying the axis of symmetry and the graph's orientation. The standard form equation for a vertical axis of symmetry is introduced, and values are substituted into this equation. Finally, the tutorial demonstrates solving for Y, concluding with the equation of a parabola.

What is the first step in writing the equation of an ellipse given the focus and vertex?

• Identify the axis of symmetry and direction of the graph

• Find the center of the ellipse

• Determine the length of the major axis

• Calculate the distance between the focus and vertex

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

• Y = MX + B

• X^2 + Y^2 = 1

• Y^2 = 4PX

• X^2 = 4PY

In the standard form of a parabola's equation, what do the coordinates H and K represent?

• The center of the ellipse

• The endpoints of the major axis

• The focus of the parabola

• The vertex of the parabola

What is the value of P if the distance from the vertex to the focus is 8?

• 32

• 4

• 8

• 16

How can the equation Y = X^2 / 32 be alternatively written?

• Y = 32X^2

• Y = 1/32 X^2

• Y = X^2 * 32

• Y = 32 / X^2