Type of Graph
Name the type of graph:
y=2x+5
Line
What direction does the parabola open?
y=-3x2+8
Down
Name the center:
(x-4)2+(y+8)2=25
(4,-8)
What is the center:
(x-2)2/16 + y2/9 = 1
(2,0)
Write an equation for the circle given radius is 8 and center is (-4,2)
(x+4)2+(y-2)2=64
Name the type of graph:
x2+y2=25
Circle
What direction for the parabola open?
3x-2y2+4=18y-9
right
Name the radius:
x2+(y-8)2=18
square root of 18 or about 4.2
What is the equation for graphing form of an ellipse?
(x-h)2/a2+ (y-k)2/b2 =1
When would you use the equation y=-b/2a?
When finding the equation for the AOS of a horizontal parabola in standard form
Name the type of graph:
4x2+4y2+2+8y-8x=18
Circle
What is the AOS of the following:
6x-15=5y2-27
y=0
Name the radius:
5(x-4)2=120-5(y+4)2+5
5
What is the HC:
4x2+5y2=100
HC=5
The the center= (-1,5), HC=1, and VC=9, what is the equation of the ellipse?
(x+1)2+(y-5)2/81 =1
Name the type of graph:
x+12y+2y2=-19
Parabola
What is the vertex of the following:
5(y-8)2-6=x+54
(-60 ,8)
Name the center:
x2+y2-6x-12y+36=0
(3,6)
What is the VC of the ellipse?
x2+9y2-4x+54y+49=0
Name the radius:
8x2-16x-2y2+6y=16
No radius. This is an ellipse.
Name the type of graph:
2x2+12(x-y+1)=-3y2-12
Ellipse
What is the vertex of the following:
x+12y+2(y-4)2=-19
(-49,1)
Name the center and radius:
2x2+2y2+8x=18
c: (-2,0)
r: square root 13 or 3.6
Name the center, HC, and VC:
3x2+2y2+12x-20y+14=0
Center: (-2,5)
HC=4
VC=square root 24 or 4.9
Find the info needed to graph the following equation:
4x2+32x+5y2-10y=-49
Ellipse
Center: (-4,1)
HC: square root 5 or 2.2
VC: 2