SOLUTION: The graph of y = x^4 + 7x^2 - 8 is symmetric with respect to the y axis. a. True b. False

Algebra.Com
Question 51039: The graph of y = x^4 + 7x^2 - 8 is symmetric with respect to the y axis.
a. True
b. False

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The graph of y = x^4 + 7x^2 - 8 is symmetric with respect to the y axis.
a. True
b. False
--------------
y-symmetry????
f(x)=x^4+7x^2-8
f(-x)=(-x)^4+7(-x)^2-8= x^4+7x^2-8
Since f(x)=f(-x) there is y-axis symmetry.
---------------------------------
Cheers,
stan H.

RELATED QUESTIONS

The graph of y = x^4 + 7x^2 - 8 is symmetric with respect to the y axis. a. True (answered by Nate)
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)
) Let 𝑓𝑥=2−|𝑥| (a) State the zero(s) of the function. (b) Which (answered by josmiceli)
Determine whether the graph of y = |x| − 3 is symmetric with respect to the origin, (answered by math_helper)
determine the symmetries (if any) of the graph of the given relation 5y^3=6x^3+2 is... (answered by MathLover1)
For the graph of the equation , (x^2)(y^2)+ (xy)= 8 Is the graph symmetric with respect... (answered by KMST)
Determine whether the function is symmetric with respect to the y-axis, symmetric with... (answered by Boreal)
is the graph of y = |x|-5 symmetric with respect to the origin, the x-axis, or the... (answered by stanbon)