Thread: Need Help Asap!!!

Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.
a. Y = 3X^2
b. (X-1)^2 + (Y-8)^2 = 16
c. (X+2)^2 + (Y-4)^2 = 36
d. Y = X^2 - X

Originally Posted by Shreve318

Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.
a. Y = 3X^2

Parabola (opens upward)
Vertex (0, 0)
Min value = 0
Focus (0, 1/12)
Directrex: y = -1/12
Length of latus rectum = 1/3
Axis of symmetry: x = 0
X-intercept=0

b. (X-1)^2 + (Y-8)^2 = 16

Circle
Center (1, 8)
Radius = 4

c. (X+2)^2 + (Y-4)^2 = 36

Circle
Center(-2, 4)
Radius=6

d. Y = X^2 - X

Parabola
See if you can figure the rest of this one.

If you have a graphing calculator, you can verify these findings. I suggest you find a table of characteristics of the conic sections, especially the parabola and circle.