I think parabola, if I'm wrong explain why?
2006-10-21 13:22:07 · 12 answers · asked by antwone 1 in Science & Mathematics ➔ Mathematics
Neither. It is a st. line through the orgin with a slope of 1.
2006-10-21 13:23:33 · answer #1 · answered by yupchagee 7 · 18⤊ 0⤋
Y = X represent a straight line going through 0,0.
Plot some points in the x-y diagram and you will see.
A parabola will be Y = X^2, an hyperbola Y = 1/X
2006-10-21 13:32:15 · answer #2 · answered by Dr. J. 6 · 3⤊ 0⤋
The equation y=x is a straight line. I believe you meant to ask about y=1/x. That is a hyperbola.
The general form of a hyperbola (with axis alongthe x-axis) is
(x/a)^2 - (y/b)^2 = 1
You can show that your form fits this through a 45 degree rotation. You need to define a new coordinate system (u and v) rotated 45 to the x-y system. The tranformation is:
x = (u - v)/sqrt(2), y = (u + v)/sqrt(2)
You substitute these into the realtion:
y = 1/x
(u + v)/sqrt(2) = sqrt(2)/(u - v)
(u + v)(u - v)/2 = 1
(u/sqrt(2))^2 - (v/sqrt(2))^2 = 1
It fits the basic form so it is a hyperbola.
2006-10-21 13:54:05 · answer #3 · answered by Pretzels 5 · 1⤊ 0⤋
y=x is a straight line with a slope of 1
y=1/x is a hyperbola
a simple way to know whether you are right is
to make a table of values of x and find y using the given equation for say 5 integer values
e.g., for y=x
x=1 , y=1: x=2, y=2: x=3, y=3: x=4, y=4: x=5, y=5:
plot on a graph paper y vs x and you will know the shape
2006-10-21 22:15:44 · answer #4 · answered by grandpa 4 · 0⤊ 0⤋
Y = X is represented by a straight line. You may graph this using the Cartesian axis, usually naming the horizontal as X and the perpendicular as Y and giving different values to X. Since Y = X you will always get a Y value that's equal the X value you chose and by joining the obtained dots you will draw a line.
2006-10-21 13:29:36 · answer #5 · answered by Mike from BA 2 · 0⤊ 1⤋
Neither. y=x is a straight line at 45 degrees passing through the origin.
y=x^2 is a parabola, with upward concavity, passing through the origin and through (1,1).
2006-10-21 13:39:49 · answer #6 · answered by poorcocoboiboi 6 · 1⤊ 0⤋
It is a straight line that goes through the origin (0,0). It's easy to check out. Whatever x value you insert into the equation, the exact same value will be your y co-ordinate. So, if your x-value is negative, so will your y-value and vice versa. Chuck it in a graphics calculator and it will seem bright as day.
2006-10-21 13:33:37 · answer #7 · answered by Adrian W 2 · 0⤊ 1⤋
Neither.
y=x is represented by a line that is at a 45 degree angle to the
x-axis.
Hit the books kid.
2006-10-21 13:39:07 · answer #8 · answered by pilly 2 · 0⤊ 1⤋
D. parabola solving for y leaves: y = -.1x^2 + .5x - 1.1 If you look past the decimals and signs you see that its in standard quadratic form: ax^2 + bx +c
2016-05-22 08:35:05 · answer #9 · answered by ? 4 · 0⤊ 0⤋
As my answer would be similar to Dr. J, I just say that his answer is simple, objective, it has all the needed informations and is correct!
Very good, Dr. J!
2006-10-21 14:11:08 · answer #10 · answered by Colorado 4 · 1⤊ 1⤋