The center of an ellipse is (1,6). One focus is of the ellipse is (-1,6). One vertex of the ellipse is (6,6) what is the equation of the ellipse in standard form

According to the information given, the equation of the elipse is:

The equation of an elipse of center is given by:

In this problem, the center is (1,6), hence .

There is a vertex at (6,6), hence .

The focus at (-1,6) means that , hence:

The equation is:

A similar problem is given at link

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

other answer is correct. i had used the radius of the radius somehow. a website: