Learn to eliminate the parameter with two equations

The video tutorial discusses solving a mathematical problem, initially questioning whether to solve for X or Y. The teacher suggests that solving for Y is easier and demonstrates the process of transforming the equation. The tutorial then explores the concept of parabolas, highlighting how the orientation changes when Y is squared, foreshadowing the study of conic sections.

Why does the teacher suggest solving for Y instead of X?

• Because Y is a constant.

• Because Y is more fun to solve for.

• Because solving for Y is easier.

• Because X is not part of the equation.

What is the initial substitution made to simplify the equation?

• X = Y/3

• X = t

• Y = 3

• Y/3 = t

What is the expression for X in terms of Y after substitution?

• X = y^2 / 9 + 2

• X = y^2 / 3 - 2

• X = y^2 / 3 + 2

• X = y^2 / 9 - 2

What equation do we get when solving for Y?

• y^2 = 9X + 18

• y^2 = X - 18

• y^2 = 9X - 18

• y^2 = X + 18

How does the teacher describe the parabola when Y is squared?

• It forms a hyperbola.

• It forms a circle.

• It opens left or right.

• It opens up or down.