What is the line of symmetry of a quadratic equation

The video tutorial introduces the concept of lines of symmetry using letters and parabolas. It explains how symmetry can be identified in letters like 'H' and 'I' and contrasts it with letters like 'R' that lack symmetry. The tutorial then shifts focus to parabolas, explaining that the line of symmetry is vertical and typically aligns with the Y-axis in standard quadratic equations. The video concludes with examples of parabolas, highlighting how symmetry can be identified through minimum and maximum points.

Which of the following letters has both vertical and horizontal lines of symmetry?

• H

• B

• A

• R

What is the line of symmetry for the parabola described by the equation y = x^2?

• Diagonal line through the origin

• Vertical line on the Y-axis

• No line of symmetry

• Horizontal line on the X-axis

In the context of parabolas, what is the significance of the Y-axis for the equation y = x^2?

• It is the maximum point

• It is the line of symmetry

• It is the axis of rotation

• It is the minimum point

How can you determine the line of symmetry for a parabola that is not centered at the origin?

• By finding the midpoint of the parabola

• By drawing a horizontal line through the vertex

• By using the X-axis as a reference

• By identifying the minimum or maximum point

What is a common feature of the line of symmetry in parabolas, regardless of their orientation?

• It is always diagonal

• It passes through the vertex

• It is always horizontal

• It is parallel to the X-axis