Your answer is J. because descending means it’s getting smaller
Answer:
(-10,-4)
Step-by-step explanation:
The point is moved to the other side of the y axis.
The y coordinate would stay the same and the x coordinate would move the same number of units but on the opposite side (that's why its -10).
(r, theta)= (8, 3/2 pi)
r=(x^2 +y^2)^(1/2)
theta= 3/2 pi
x= r(costheta)
y=r(sintheta)
x=8(cos(3/2 pi))
y=8(sin(3/2 pi))
x=8(0)
y=8(-1)
x=0
y=-8
r=((-8)^2+(0)^2)^(1/2)
r=(64+0)^(1/2)
r=8
rectangular coordinates= (0,-8)
Answer:
directrix: y = -1/2; focus = (0,1/2)
Step-by-step explanation:
rewrite in standard form:
2y = x^2
factor 4
4 * (y/2) = x^2
rewrite as
4 * 1/2 ( y - 0 ) = (x - 0 )^2
therefore
(h,k) = (0,0) , p = 1/2
directrix is line || to x-axis, distance - p from the center (0,0) y-coordinate (of the parabola)
y = 0 - p
y = 0 - 1/2
y = -1/2
now for the focus!
the focus is distance p from center (0,0) along y-axis --> (0, 0+p)
therefore
(0,0+1/2)
(0,1/2) is the focus!
