Describe one similarity and one difference between the graphs of x29−y21=1and(x−3)29−(y+3)21=1.

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Given: (a).x29−y21=1 (b).(x−3)29−(y+3)21=1 To describe: One similarity and one difference between both the graphs. Concept: The sandard form of the equation of a hyperbola with center (h,k)and transverse axis parallel to x - axis is (x−h)2a2−(y−k)2b2=1, then Lenght of transverse axis 2a. Lenght of conjugate axis is 2b. Distance between the foci is 2c, where c2=a2+b2. Step 2 Explanation: Here we have x29−y21=1and(x−3)29−(y+3)21=1 i.e. x2(3)2−y2(1)2=1and(x−3)2(3)2−(y+3)2(1)2=1 Difference: Both the hyperbola have different centre. Center of x2(3)2−y2(1)2=1 is (0,0) while center of (x−3)2(3)2−(y+3)2(1)2=1 is (3,-3). Similarity:Since both the hyperbola&#039;s have the same value of α=3andb=1 ⇒ Both the parabola&#039;s have same lenght of transverse axes =2a lenght of conjugate axes =2b and distance between the foci =2c.

Describe one similarity and one difference between the graphs of x^2/9 - y^2/1 = 1 and ((x - 3)^2)/9 - ((y + 3)^2)/1 = 1.

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