What is the equation of this graph?

Question

y=f(x) is a parabola:

vertex is 0,0

some points are (1,1)(-1,1)(2,4)(-2,4)(3,9)(-3,9)

y=g(x) is a upside down carrot ^:

the vertex hits the y-axis at (0,8)

some points are (1,6)(-1,6)(2,4)(-2,4)(3,2)(-3,2)

Answer 1

f(x) = x^2

g(x) = -2|x| + 8