SOLUTION: Describe in words the graph below. Include in your description the shape, along with other possible relevant information such as length, width, and center points. y = x^2 - x

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Describe in words the graph below. Include in your description the shape, along with other possible relevant information such as length, width, and center points. y = x^2 - x      Log On


   

Question 39452: Describe in words the graph below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.

y = x^2 - x
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2+-+x
We know that this is a parabola, so it is "U-shaped".
The length and width will always increase as the x-values increase.
The vertex is: (-b/2a , f(x)) = (1/2 , -1/2)
Latus Rectum (the distance from one point on the parabola across the foci to another point on the parabola) = |1/a| = |1/1| So we know this parabola is skinny.
The distance from the foci to the vertex (also known as the distance from the Directix to the vertex) = (1/(4a)) = (1/4)