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**Question 12**  
A parabola is said to be in standard position if its vertex is at the origin and its principal axis is one of the coordinate axes.

The possible answers are:  
- True  
- False

This statement is **True**.

A parabola is in standard position when its vertex is at the origin (0,0), and its principal axis (the line through the focus and perpendicular to the directrix) lies along either the x-axis or y-axis. This is a common way to define a "standard" parabola in mathematics.

Would you like further details on parabolas or other related concepts?

Here are 5 related questions to expand on this:

1. What is the equation of a parabola in standard position along the x-axis?
2. How do you find the focus and directrix of a parabola?
3. What is the difference between a horizontal and vertical parabola?
4. Can a parabola have its axis along a diagonal line, and how would the equation look?
5. How is a parabola related to other conic sections like ellipses and hyperbolas?

**Tip**: Always remember that the orientation of a parabola affects its equation. For example, \( y^2 = 4px \) describes a parabola opening along the x-axis.

A parabola is said to be in standard position if its vertex is at the origin and its principal axis is one of the coordinate axes.

Explore the properties of parabolas in standard position, with their vertex at the origin and principal axis along one of the coordinate axes. Understand the standard form of parabolas and key concepts like the vertex, focus, and axis of symmetry. Suitable for high school students in Grades 9-11.

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