The video tutorial explains how to write equations for a parabola in vertex and standard forms. It emphasizes using vertex form when given the vertex and a point. The tutorial guides through identifying vertex variables H and K, and solving for the unknown variable A using given coordinate points. The process involves substituting known values into the vertex form equation and solving for A to complete the parabola equation.

What are the two forms of equations mentioned for writing a parabola?

• Exponential form and logarithmic form

• Quadratic form and linear form

• Vertex form and standard form

• Slope-intercept form and point-slope form

When given the vertex of a parabola, which form is more useful for writing its equation?

• Slope-intercept form

• Quadratic form

• Vertex form

• Standard form

What do the variables H and K represent in the vertex form of a parabola?

• The slope and y-intercept

• The vertex coordinates

• The x and y intercepts

• The coefficients of x and y

In the process of solving for 'a', what is the first step after substituting the known values into the vertex form equation?

• Multiply the terms

• Add the constants

• Divide by the coefficient

• Square the difference

What is the final step in writing the equation of a parabola once 'a', H, and K are known?

• Convert to standard form

• Plug in the values into the vertex form

• Solve for x

• Graph the equation