Graph the equation of an parabola with a horizontal axis of symmetry

This video tutorial explains how to graph a parabola using conic sections. It covers identifying the type of equation, determining the axis of symmetry, and using the equation y - k^2 = 4p(x - h) to find the vertex, focus, and directrix. The tutorial demonstrates solving for y, identifying the vertex at the origin, and calculating the distance to the focus and directrix. The lesson concludes with graphing the parabola and summarizing the key points.

What are the key components to identify when graphing a parabola?

Explain how to determine the axis of symmetry for a parabola.

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

How do you find the coordinates of the focus of a parabola?

Describe the process to write the equation of the directrix for a parabola.