WorksheetsUnit 8 Mr. Kuhtz Review
Total questions: 20
Worksheet time: 40mins
What type of equation is shown? 7x2+3y2=5
Ellipse
Hyperbola
Quadratic
Circle
Find the foci of x2/64+y2/9=1
(8.544,0) (-8.544,0)
(0,8.544) (0,-8.544)
(7.416,0) (-7.416,0)
(0,7.416) (0,-7.416)
Which graph represents the equation x2/4+y2/25=1?
Find the standard equation of the ellipse with vertices at (5,1) and (-3,1) and passes through the point (1,3)
(x-1)2/16-(y-1)2/4=1
(x-5)2/4+(y-1)2=1
(x-1)2/16+(y-1)2/4=1
(x-1)2/162+(y-1)2/42=1
Find the center of the ellipse (x+6)2/81+(y-1)2/212=1
(-6,1)
(6,-1)
(9, √212)
(-9, √212)
Find the foci of the equation (x+2)2/9+(y-1)2/25=1
[ (-2, 5) (-2, -3)]
[(-2,1) (2,1)]
[(-2,3) (2,1)]
[(1,-2) (1,2)]
Identify the conic section 4x2-y2+8x+2y=0
Hyperbola
Quadratic
Circle
Ellipse
Find the standard equation of the hyperbola with vertices (+/- 8,0) and an asymptote y=+/- 2x
x2/64+y2/96= 1
y2/256-x2/64= 1
x2/64-y2/256= 1
y2/64-x2/256= 1
What is the standard equation of a hyperbola centered at its origin with vertices at (+/-√4, 0) and a foci at (+/- √7,0)?
x2/7-y2/3= 1
x2/4-y2/3= 1
x2/7+y2/3= 1
x2/3-y2/4= 1
Find the standard equation of the hyperbola centered at the origin with y intercepts at +/- 8 asymptotes y=+/- 4/3x.
y2/64-x2/36 = 1
y2/36-x2/64 = 1
y2/64-x2/9 = 1
y2/64+x2/9 = 1
Find the vertices of the hyperbola and the slopes of the asymptotes from this equation: x2/4- (y+2)2/9=1
(2,-2) and (-2,-2), +/- 3/2
(2,-2) and (-2,-2) +/-2/3
(-2,2) and (-2,-2)+/-2/3
(-2,2) and (-2,-2) +/- 3/2
Find the equation of the parabola with focus at (-5,0) and a directrix at x=5
y2=-20x
y2=-5x
x2=-20y
-5y2=y
Find the directrix and focus of the parabola -y2=8x.
[x=2, (-2,0)]
[x=4, (-4,0)]
[x=-2, (2,0)]
[y=4, (0,4)]
Find the equation for the parabola with a vertex at the origin and a foci of (3,0).
(x-3)2=(y+4)
y2=12x
x2=9x
y2=9x
What is the vertex of this equation? (y-9)2=8(x+13)
(9,-13)
(-13,9)
(9,-104)
(-104,9)
Find the standard equation of the conic section and identify the type of conic section: 2y-2x2+12x-10=0
(x-6)2 = (y+5)
(x-4)2 = (y+3)
(x+6)2 = (y-5)
(x-3)2 = (y+4)
Find the directrix of the equation (x+3)2 = -2y+4
x = 1/2
y = 3/2
x = -3/4
y = -1/2
A student wants to learn about how parabolic flashlights work. They figure out that the reflector is 6 inches wide and 3 inch deep. If the filament is at the focus, how far away is the filament from the vertex of the parabola created?
3/4 in
1/2 in
1/4 in
5/4 in
Two families go to a restaurant with a ceiling shaped like a semi-ellipse. The Johnson Family sat at the foci at the right side room and the Smith Family sat at the other foci. The room is 30 ft wide and a wall height of 6 ft. The highest point of the ceiling is 12 ft tall. How far apart are the two tables?
29 ft
24.5 ft
27.5 ft
29.5 ft
Sally has a 10 in by 10 in piece of yellow paper and cuts a circle from this paper. If the circle cut out has a radius of 5 in, assuming the center is at the origin, what is the standard equation of the circle?
x2+y2 = 100
x2+y2 = 25
x2/5 + y2/10 = 1
x2/10 + y2/5 = 1
