witives is 212 i42214 51 Need Help ESmitili li thirtiem inem

witives. is, 21,2% i:42214, 51 Need Help? ESmitili li thirtiem inemeneki

Solution

1)

center (h,k)=((4+4)_/2,(2-2)_/2)=(4,0)

vertices (h,k+b)=(4,2),(h,k-b)(4,-2)

foci (h,k+be)=(4,5),(h,k-be)=(4,-5)

b =2,be=5

be_/b =5_/2

e=5_/2

e=(1+(a_/b)²)

(1+(a_/2)²)=5_/2

(1+(a_/2)²)=25_/4

(a_/2)²=21_/4

a²=21

a=21

equation of hyperbola is of form -(x-h)²_/a²+(y-k)²_/b²=1

equation of hyperbola is -(x-4)²_/21 +(y-0)²_/4=1

equation of hyperbola is -((x-4)²_/21)+(y²_/4)=1