SOLUTION: Please help determine whether the graph of y = x^2 + 9 is symmetric with respect to the x-axis, the y-axis, or the origin.
Algebra.Com
Question 92023: Please help determine whether the graph of y = x^2 + 9 is symmetric with respect to the x-axis, the y-axis, or the origin.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
determine whether the graph of y = x^2 + 9 is symmetric with respect to the x-axis, the y-axis, or the origin.
--------------
--------------
To answer the question without graphing check the following:
f(x) = x^2 + 9
f(-x) = (-x)^2+9 = x^2+9
-f(-x) = -[x^2+9] = -x^2-9
------------------
Since f(x) = f(-x) you have y-axis symmetry
Since f(x) does not equal -f(-x) you do not have origin symmetry.
=====================
Cheers,
Stan H.
RELATED QUESTIONS
Determine whether the graph of the equation is symmetric with respect to the x-axis,the... (answered by Fombitz)
Please help!
Determine whether the graph of y=|4x| is symmetric with respect to the... (answered by stanbon)
Determine whether the graph of y=x^3+1 is symmetric with respect to the origin
the... (answered by Theo)
Determine whether the graph of y = x3 +1 is symmetric with respect to the origin,
the... (answered by robertb)
Determine whether the graph of y = |x| − 3 is symmetric with respect to the origin, (answered by math_helper)
Determine whether the graph of y= 3+ x^2 is symmetric with respect to the x- axis, the... (answered by KMST)
Determine whether x^2+y-81=0 is symmetric with respect to the x-axis, y-axis and or... (answered by math-vortex,robertb)
Determine whether the graph of y=4x^2+1 is symmetric with respect to the x-axis, y-axis,... (answered by MathLover1)
Determine whether the graph of y = | x | + 3 is symmetric with respect to the origin, the (answered by ccs2011)