Determine the even quartic function $$f(x)= a*x^4+b*x^2+c$$ that satisfies $$f(0)=5$$ and has absolute minima at $$x= \pm 2$$. (Hint: Use symmetry and the candidate’s test.) Which equation is correct?

For an even quartic function of the form
$$f(x)= a*x^4+b*x^2+c$$,
f(0)= c, and its critical points satisfy symmetry.