Advanced Geometry : Advanced Geometry
Study concepts, example questions & explanations for Advanced Geometry
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Example Questions
Example Question #12 : How To Graph Complex Numbers
Refer to the above diagram, which shows four points on the complex plane.
Select the point which gives the result of the subtraction
To subtract two complex numbers, subtract the real parts and subtract the imaginary parts:
On the complex plane, a complex number whose real part is positive is right of the imaginary (vertical) axis; a complex number whose imaginary coefficient is negative is below the real (horizontal axis). 
Example Question #1 : Graphing Inverse Variation
Give the vertical asymptote of the graph of the equation
The vertical asymptote is 
This is the equation of the vertical asymptote.
Example Question #1072 : Problem Solving Questions
Give the 
The graph has no 
The graph has no
Set 
This is impossible, so the equation has no solution. Therefore, the graph has no 
Example Question #192 : Graphing
Give the
The graph has no
Set
The 
Example Question #2 : Graphing Inverse Variation
Give the horizontal asymptote, if there is one, of the graph of the equation
The graph of the equation has no horizontal asymptote.
To find the horizontal asymptote, we can divide both numerator and denominator in the right expression by 
As 
Example Question #2 : Graphing Inverse Variation
Give the 
The graph has no 
Set 
The 
Example Question #2 : Graphing
A triangle is made up of the following points:
What are the points of the inverse triangle?
The inverse of a function has all the same points as the original function, except the x values and y values are reversed. The same rule applies to polygons such as triangles.
Example Question #2 : How To Graph Inverse Variation
Electrical power can be generated by wind, and the magnitude of power will depend on the wind speed. A wind speed of 
The simplest way to solve this problem is to plug all of the answer choices into the provided equation, and see which one results in a power of 
Alternatively, one could set up the equation,
If we were to factor we would look for factors of c that when added together give us the value in b when we are in the form,
In our case 
Thus the following factoring would solve this problem.
Then set each binomial equal to zero and solve for v.
Since we can't have a negative power our answer is 
Example Question #3 : How To Graph Inverse Variation
Compared to the graph 
The 
Example Question #1 : How To Graph Inverse Variation
If you look at 
The graph shifts ten units to the right. The number inside the parentheses shows where and how many units the graph will shift. If it is in the parentheses with the x-coordinate, then it will shift either to the left or right. If the number is negative, it goes to the right. If it is positive, it will shift to the left.
If the number was with the y-coordinate then the graph would shift up and down.
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