Find the parabola given the vertex and point

The video tutorial covers solving a math problem involving determining the orientation of a wall, identifying the standard form for horizontal equations, and calculating the value of P using given points. The instructor explains how to identify the vertex and a point on the graph, and how to use these to finalize the standard form equation.

What is the standard form of the equation for a horizontal parabola?

How do you determine the vertex of a parabola from the given information?

What is the significance of the values H and K in the context of the parabola?

What values do you need to plug into the standard form to find the value of P?

Explain the process of deriving the standard form from the vertex and a point on the parabola.