Write an equation that states \((x,y)\) is the same distance from \((4,1)\) as it is from the \(x\)-axis.

Select all equations that describe the parabola with its focus \((\text- 1,\text- 7)\) and with \(y=3\) as its directrix.

Parabola A and parabola B both have the \(x\)-axis as the directrix. Parabola A has its focus at \((3,2)\) and parabola B has its focus at \((5,4)\). Select all true statements.

A parabola has its focus as \((5,1)\), and \(y = \text{-}3\) as its directrix. Where is the parabola’s vertex?

Select the value needed in the box in order for the expression to be a perfect square trinomial.

\(x^2+7x+\boxed{\phantom{3}}\)

Rewrite each expression as the product of 2 factors.

1. \(x^2+3x\)

2. \(x^2-6x-7\)

3. \(x^2+4x+4\)

Suppose this two-dimensional figure is rotated 360 degrees around the vertical axis shown. Each small square on the grid represents 1 square inch. What is the volume of the three-dimensional figure?