What are the coordinates of the center of the ellipse shown below?

a. (-7,3)
b. (4,16)
c. (2,4)
d. (7,-3)

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

Then

So The coordinates of the center of the ellipse are (7, -3)

D. (7,-3)

Step-by-step explanation:

This equation is for vertical Ellipse;

For vertical Ellipse;

where the equation is (x-h)²/b² + (y-v)²/a²

In this question;

h=7 and v= -3

center= (7,-3)

a

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.