Question

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

Answer 1

Answer:

Option D (7, -3)

Step-by-step explanation:

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

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$

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

In this case the equation of the ellipse is:

$\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1$

Then

$h=7\\\\k = -3$

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

Answer 2

Answer:

D. (7,-3)

Step-by-step explanation:

This equation is for vertical Ellipse;

For vertical Ellipse;

• center of ellipse is given by (h,v)
• vertices for ellipse is given by (h, v ± a)
• co-vertices for the ellipse is given by (h ±b, v)

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

In this question;

h=7 and v= -3

center= (7,-3)