Answer:
In a nutshell, 
is obtained by applying an horizontal translation on 
, followed by a vertical translation.
Step-by-step explanation:
Let be 
the parent function, is obtained by applying an horizontal translation on , followed by a vertical translation, that is:
(1)
If 
, then translation is rightwards.
If 
, then translation in downwars.
If 
and 
, then the resulting function is:
(2)
In a nutshell, is obtained by applying an horizontal translation on , followed by a vertical translation.
<span>Standard Form of an Equation of an Hyperbola opening up and down is:
(y-k)^2 / b^2 - (x-h)^2 / a^2 = 1
</span><span>where Pt(h,k) is a center with vertices 'b' units up and down from center.
</span><span>vertices: vertices: (0,+-2) b = 2 AND Center is (0,-0)
(y)^2/4-(x)^2/a^2=1
</span><span>foci: (0,+-7)
a^2 = 24
square root of 4 + a^2 = 5.29
4 + 5.29 = 9.29
y^2 / 4 - x^2 / 24 = 1</span>
Answer:mark is 7. Mike is 4
Step-by-step explanation:x+y=11. Y=2x-10 thus substituting for y in equation1 we have x+2x-10=11. 3x-10=11. 3x=11+10. 3x=21. X=21/3. X=7. Mike =(2×7)-10=14-10=4
N= -1
2(-1)-1
F(n)= -3
n=7
2(7)-1
F(n)= 13
