Posted by Jason on Thursday, August 25, 2011 at 7:11am.
find any intercepts of the graph of the given equation. determine whether the graph of the equation possesses symmetry with respect to the xaxis, yaxis, or orgin
y=x^22x2

Precalculus  drwls, Thursday, August 25, 2011 at 7:19am
y = (x1)^2 3
When y = 0, (x1)^2 = 3
x  1 = + or  sqrt3
x = 1 + sqrt3 or 1  sqrt3
When x = 0, y = 3
There is no symmetry about the x or y axes, or origin.

Precalculus  Damon, Thursday, August 25, 2011 at 7:24am
When x = 0, y = 2, y axis intercept
When y = 0
x = [ 2 +/ sqrt(4+8)]/2 = 1 +/ sqrt 3
therefore parabola is symmetric about the vertical line x = 1
show it by completing the square
x^2  2x = y + 2
x^2  2x + 1 = y+3
(x1)^2 = (y+3)
vertex at (1,3)

Precalculus  Jason, Thursday, August 25, 2011 at 7:32am
thank you damon! that was exactly what i was looking for, by the way it's 4:32 am here and i've been searching for that answer for hours...
Answer This Question
Related Questions
 Precalculus  find any intercepts of the graph of the given equation. determine ...
 Precalculus  find any intercepts of the graph of the given equation. determine ...
 symmetry help  find any intercepts of the graph of the given equation. ...
 mathplease help,need quickly  find the slant asymptote of the graphof the ...
 Alegrba  Please check my answers. Also, can I see some graphs of yaxis ...
 precal  what is the slant asymptote of the graph of the rational function and ...
 AlgebraPolynomails  Please explain to me orgin of symmetry, yaxis semmetry, ...
 math, algebra,graphs help  THe directions state: (A)Complete the table, (B) ...
 Algebra,Math, graphs help  This is what the directions state to do: (A) ...
 Algebra II  Determine whether the grapg of the given equation is symmetric with...
More Related Questions