Graph a parabola whose
x
xx-intercepts are at
x
=
−
3
x=−3x, equals, minus, 3 and
x
=
5
x=5x, equals, 5 and whose minimum value is
y
=
−
4
y=−4y, equals, minus, 4.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe