For the quadratic function f(x) = x2 + 8x + 12 in standard form, find the following key features: vertex
y-intercept
Roots x =
and x =
Axis of Symmetry x =

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21)