Eliminate the parameter to obtain a sideways parabola

The video tutorial discusses solving for X and introduces the concept of non-functions. It explains how to substitute variables and understand parabolas, focusing on their orientation based on the sign of variables. The lesson encourages practical application by using calculators to visualize equations, concluding with a discussion on how parabolas open depending on whether the variable is positive or negative.

Explain why the equation X = y^2 - 1 represents a parabola.

What is the significance of the variable arrangement in the equation of a parabola?

What happens to the graph of a parabola when the coefficient 'a' is positive?

How can you determine if a parabola opens to the left or right?

Describe the process of using a calculator to graph a parabola in parametric mode.