Write the equation of the ellipse shown in the graph. a.(x+1)^2/4 + (y-2)^2/9=1b.(x+1)^2/9 + (y-2)^2/4=1c.(x-1)^2/4 + (y+2)^2/9=1d.(x-1)^2/9 + (y+2)^2/4=1

A.  

Step-by-step explanation:        

We have been given a graph and we are asked to write an equation for the ellipse shown in the graph.

Since we know that standard equation for ellipse is in form: , where our ellipse is centered at (h,k), whose horizontal radius is a and vertical radius is b.

We can see from our diagram that center of our given ellipse is at point(-1,2)

We can see that our ellipse has a vertical radius of 5-2=3 units. The horizontal radius of our ellipse is units long.  

Now let us substitute our given values in standard ellipse equation to find the correct option.

,

Upon looking at our given options we can see that option A is the correct choice.

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b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .