Compare and contrast the parabolas with these definitions.

• parabola A: points that are the same distance from \((0,4)\) and the \(x\)-axis
• parabola B: points that are the same distance from \((0,\text-6)\) and the \(x\)-axis

A parabola has a focus of \((2, 5)\) and a directrix of \(y=1\). Decide whether each point on the list is on this parabola. Explain your reasoning.

1. \((\text{-}1,5)\)
2. \((2 ,3)\)
3. \((6,6)\)

For each function, give the vertex of its graph and state whether the function has a maximum or minimum.

1. \(m(x)=2x^2-3\)
2. \(n(x)=\text-5(x-1)^2+4\)
3. \(p(x)=0.5(x+1)^2+1.5\)
4. \(r(x)=\text-500x^2-900\)