ICT Role in 21st Century Education & its Challenges.pptx
1007 ch 10 day 7
1. 10.3 Hyperbolas
Day Two
Romans 6:4 "Therefore we are buried with him by baptism
into death: that like as Christ was raised up from the dead by
the glory of the Father, even so we also should walk in
newness of life."
2. 1. Find the equation of the hyperbola in standard form
with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .
3. 1. Find the equation of the hyperbola in standard form
with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .
2 2 2
a=2 c=3 c = a +b
2
9 = 4+b
2
b =5
4. 1. Find the equation of the hyperbola in standard form
with vertices of ( ± 2, 0 ) and foci ( ± 3, 0 ) .
2 2 2
a=2 c=3 c = a +b
2
9 = 4+b
2
b =5
2 2
x y
− =1
4 5
5. 2. Find the equation and the foci of the hyperbola with
vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
6. 2. Find the equation and the foci of the hyperbola with
vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
a
a = 4 and = 4 ∴b = 1
b
7. 2. Find the equation and the foci of the hyperbola with
vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
a
a = 4 and = 4 ∴b = 1
b
2 2 2
c = a +b
2
c = 17
c = 17 ≈ 4.1
8. 2. Find the equation and the foci of the hyperbola with
vertices ( 0, ± 4 ) and asymptotes y = ± 4x .
a
a = 4 and = 4 ∴b = 1
b
2 2 2
c = a +b
2
c = 17
c = 17 ≈ 4.1
2
y 2
Equation : − x =1
16
foci : ( 0, ± 17 )
9. Turn to page 767 and read the paragraph
about the reflective properties of conics.
(At the bottom of the page)