
Understanding Quadric Surfaces and Traces

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a quadric surface?
A graph of a first-degree equation in X, Y, and Z
A graph of a second-degree equation in X, Y, and Z
A graph of a third-degree equation in X, Y, and Z
A graph of a linear equation in X, Y, and Z
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using traces in sketching quadric surfaces?
To help sketch the surface by finding intersections with planes
To determine the color of the surface
To find the volume of the surface
To calculate the surface area
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which plane is used when setting X equal to zero for an ellipsoid?
YZ plane
XZ plane
XY plane
None of the above
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is formed in the YZ plane for an elliptic paraboloid when X is zero?
Hyperbola
Parabola
Ellipse
Circle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of surface is a hyperbolic paraboloid?
A cylindrical surface
A spherical surface
A flat surface
A saddle surface
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation form of a cone in terms of Z?
z^2 = ax + by
z = ax^2 + by^2
z = ax + by
z^2 = ax^2 + by^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of traces do hyperboloids of one sheet have?
Only elliptical traces
Vertical hyperbolas and horizontal ellipses
Vertical ellipses and horizontal hyperbolas
Only circular traces
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a hyperboloid of two sheets, what determines the direction of the cups?
The sign of the coefficient of y^2
The sign of the coefficient of z^2
The sign of the coefficient of x^2
The sign of the constant term
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in sketching a quadric surface?
Determining the color
Calculating the volume
Using traces to determine the shape
Finding the surface area
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