Question

D Question 2 5 pts Find an equation for the conic whose graph is shown. (2,2) (27) + (67) - 1 • (5–7+ = 1 (2x2y + = 1 + (7)* = 1

Answer 1

This is an equation of ellipse

x-center = (-1 + 5)/2 = 2

y-center = (2-2)/2 = 0

Hence the ellipse is centered at (2,0). The elongation in x-axis is given by 2-(-1) =3 and for y-axis being equal to (2-0) = 2

Hence the equation of ellipse will be given by

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

(2-2) o

Hence the correct answer is Option a

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