Answer:
<em>The equation of the Parabola</em>
<em>(y - 6 )² = 8 (x -6)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
<u><em>Step(ii):-</em></u>
<em>The equation of the Parabola ( h,k) = (6 , 6)</em>
<em>( y - k )² = 4 a ( x - h )</em>
<em>(y - 6 )² = 4 (2) (x -6)</em>
<em>(y - 6 )² = 8 (x -6)</em>
<u><em></em></u>
Answer:

Step-by-step explanation:
1- Identify the x and the y
x1= -2
x2=2
y1= 2
y2= -1
2-
2- solve the equation:
d=
(2-(-2))
+ ((-1)-2)
d=
(4)
+ (-3)
=
16 + 9
=
25
d=5 answer
<span><span>x=<span><span><span>20</span></span><span><span><span>(y−3)</span><span><span>2</span><span></span></span></span></span><span></span></span>−1</span><span>
</span></span>
The answer would be 26.25