what is the shape of the graph of the equation below (x-5)^2/4^2+y^2/7^2=1

Question

a circle

a line

a hyperbola opening up and down

a hyperbola opening to the left and right

a parabola  opening to the right

Answer 1

None of the above

it's an ellipse

"Best Answer" would probably be circle, as an ellipse more closely resembles a circle than a line, parabola or hyperbola

(x-5)^2/4^2 + y^2/7^2 = 1

is an ellipse

with center (5,0)

axes = 4 and 7

it's longer vertically than horizontally

2nd best answer might be hyperbola opening upward and down

3rd best or 2nd worst is a line

4th best or worst answer is parabola

but all the answers are wrong, dead wrong.

if the 4 and 7 had been the same number, it would be a circle

Possibly the problem had them the same but it got copied incorrectly

a 4 is a 7 with a triangular "hat" on top. they could get confused