Concept explainers
a.
Find the standard form of the equation.
a.
Answer to Problem 43PPS
Explanation of Solution
Given information:
An ellipse with centre
Calculation:
As the
Value of
Value of
Use the equation of an ellipse with horizontal orientation,
Substitute
b.
Convert in standard form.
b.
Answer to Problem 43PPS
Explanation of Solution
Given information:
An ellipse with centre
Calculation:
Convert the equation
Hence, standard form of the equation of ellipse is,
c.
Graph the ellipse.
c.
Answer to Problem 43PPS
Explanation of Solution
Given information:
An ellipse with centre
Calculation:
The graph is shown below:
d.
Determine the location of
d.
Answer to Problem 43PPS
Explanation of Solution
Given information:
An ellipse with centre
Calculation:
Distance between new position of point
By rotating the ellipse in the given manner, the horizontal ellipse will be the “Vertical ellipse”.
Hence, the angle of rotation will be
The new position of point
Hence, the new position of point
Chapter 9 Solutions
Glencoe Algebra 2 Student Edition C2014
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