The equations for ellipses are shown below
For horizontal ellipse,
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
For vertical ellipse,
(x - h)^2/b^2 + (y - k)^2/a^2 = 1
where h and k are the x and y coordinates of the center of the ellipse
The value of a is always higher than that of b because a is the distance of the endpoint to the center along the major axis while b is the distance of the endpoint to the center along the minor axis
The given equation is
(x - 1)^2/3^2 + y^2/4^2 = 1
By comparing it with the vertical ellipse equation,this means that
a = 4
b = 3
Also
h = 1
k = 0
The coordinate of the center is (1, 0)
We would look for the graph that has a center is (1, 0) and a and b values of 4 and 3 respectively. The correct option is C