Graphing and Coordinate System Concepts

The video tutorial covers the basics of graphing on the Cartesian coordinate system, including understanding the XY plane, plotting points, and graphing equations. It explains the concept of quadrants, how to plot ordered pairs, and graph equations like y = 4 - x^2 and y = |x|. The tutorial also discusses intercepts, showing how to find where graphs intersect the axes.

What is another name for the rectangular coordinate system?

• Polar coordinate system

• Cartesian coordinate system

• Spherical coordinate system

• Cylindrical coordinate system

Which axis is horizontal in the Cartesian coordinate system?

• Y-axis

• Z-axis

• X-axis

• W-axis

In which quadrant are both x and y positive?

• Quadrant II

• Quadrant III

• Quadrant I

• Quadrant IV

What is the ordered pair for the origin?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

If a point is located at (-3, 5), in which direction do you move from the origin?

• Right 3, Up 5

• Left 3, Down 5

• Left 3, Up 5

• Right 3, Down 5

What is the x-coordinate of point C if it is on the x-axis?

• 0

• 6

• 3

• 5

Which equation represents a relationship between x and y?

• x = 4 + y^2

• y = 4 - x^2

• x = y - 4

• y = x + 4

What is the solution to the equation y = 4 - x^2 for the ordered pair (3, -5)?

• Only for x = 0

• True

• False

• Cannot be determined

What shape does the graph of y = 4 - x^2 form?

• Ellipse

• Line

• Parabola

• Circle

What is the vertex of the parabola y = 4 - x^2?

• (0, 4)

• (4, 0)

• (0, 0)

• (2, 2)