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

How many more cm are required to reach the average monthly, Thomas is remai...

Thomas is remaining track of the rainfall in the month of May for his science project. The first day, 2.6 cm of rain fell. On the second day, 3.4 cm fell. On the third day, 2.1 cm

Produce list containing m-vectors delta and lambda, The logarithm of the Po...

The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve

What is the product of the two numbers in terms of x, A number, x, increase...

A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x? The two numbers in terms of x wou

What percent of the shirts had been sold by football booster, The football ...

The football boosters club had 80 T-shirts made to sell at football games. Through mid-October, they had only 12 left. What percent of the shirts had been sold? Denote the numb

Formulas for the volume of this solid, Formulas for the volume of this soli...

Formulas for the volume of this solid V = ∫ b a A ( x) dx          V = ∫ d c A ( y ) dy where, A ( x ) & A ( y ) is the cross-sectional area of the solid. There are seve

Mean, a data set has a mean of 3, a median of4, and a mode of 5, which numb...

a data set has a mean of 3, a median of4, and a mode of 5, which number must be in the data set 3,4,or5

Parallelogram, fig angles of a irregular polygons exterior and interior .

fig angles of a irregular polygons exterior and interior .

Covariance, Covariance The variance is a measure of the variabil...

Covariance The variance is a measure of the variability or dispersion in a variable or data set. A measure of the variability of one variable (or data set) in relatio

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