Understanding Parabolas and Their Properties

The video tutorial explains how to plot points on a graph and sketch the graph of y = x^2. It discusses the concept of symmetry in parabolas and the nature of curved lines. The tutorial also covers the importance of turning points and vertices in understanding the graph's behavior.

What are the coordinates of the origin?

• (0, 0)

• (-1, 1)

• (1, -1)

• (2, 2)

What is the equation of the graph being discussed?

• y = x³

• y = x

• y = x²

• y = 2x

What kind of symmetry does the graph of y = x² exhibit?

• Asymmetrical

• Rotational

• Symmetrical

• None

What is the name of the shape formed by the graph of y = x²?

• Hyperbola

• Parabola

• Ellipse

• Circle

What is another term for the turning point of a parabola?

• Center

• Vertex

• Apex

• Focus

How does the gradient of a parabola differ from that of a straight line?

• It is always positive

• It is always zero

• It changes

• It remains constant

What happens to the graph of y = x² as x values increase?

• It disappears

• It flattens

• It becomes a straight line

• It curves more steeply

What is the significance of the vertex in a parabola?

• It is where the graph ends

• It is where the graph changes direction

• It is the lowest point

• It is the highest point

What is the Latin term related to the turning point of a parabola?

• Vortex

• Vertigo

• Vertex

• Verteir

What is the pattern of the graph of y = x²?

• Circular

• Linear

• Curved

• Zigzag