Draw a common graph ( x - 2)2 /9+4(y + 2)2 =1, Mathematics

Assignment Help:

Graph     ( x - 2)2 /9+4(y + 2)2  = 1

Solution

It is an ellipse. The standard form of the ellipse is

                                                        ( x - h )2 /a2 + (y - k )2 / b2 = 1

It is an ellipse with center (h, k) and the right most & left most points are distance of away from the center and the top most & bottom most of the points are a distance of b away from the center.

The ellipse for this equation has center (2, -2) and has a = 3 & b = 1 .  Note  as well that to get the b .we're actually rewriting the equation as,

                                                        ( x - 2 )2 /9 + (y + 2 )2 / (1/4) = 1

to get it in standard from.

Following is a sketch of the ellipse.

 

1902_common graph 4.png


Related Discussions:- Draw a common graph ( x - 2)2 /9+4(y + 2)2 =1

Prove sum of squares any two sides equal twice square, Prove that in any tr...

Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisect

Find the sum-of-products expression for the function, Find the sum-of-produ...

Find the sum-of-products expression for subsequent function,  F (x,y,z) = y + Z‾ Ans: The sum of the product expression for the following function f is DNF (disjunc

Levels of significance - rejection and acceptance regions, Levels of signif...

Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability

Linear equation, tens digit of a 2-digit number is twice its unit digit. If...

tens digit of a 2-digit number is twice its unit digit. If the sum of the digit is 12, find the number.

Examining a related problem, how to explain this strategy? how to do this s...

how to explain this strategy? how to do this strategy in solving a problem? can you give some example on how to solve this kind of strategy.

Find the volume of water left in the cylindrical tub, A solid is in the for...

A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 3.5 cm and the height of the cone is 4 cm. The solid is placed in a cylindr

Geometry, the segments shown could form a triangle

the segments shown could form a triangle

Mean value theorem function, Mean Value Theorem : Suppose f (x) is a funct...

Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on

Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

Algebraic expressions word problems, Juan is g years old and Eva is 2 years...

Juan is g years old and Eva is 2 years younger than Juan. a.Find the sum of their ages in terms of g. b.Find the sum of their ages in g years'' time,in terms of g.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd