Chapter 13.2, Problem 1PE

a. A circle, a parabola, an ellipse, and a hyperbola are curves that collectively are called _______ sections. These types of curves derive their names because each is the intersection of a _______ and a double-napped cone.

b. A _______ is defined by a set of points in a plane that are equidistant from a fixed line (called the _______) and a fixed point (called the _______).

c. Given a parabola defined by $y=a{\left(x-h\right)}^2+k\left(a\ne 0\right),$ the _______ is $\left(h,k\right)$ and is the highest or lowest point on the graph. The axis of _______ is the vertical line through the vertex whose equation is $x=h$.

d. Given a parabola defined by $x=a{\left(y-k\right)}^2+h\left(a\ne 0\right)$, the axis of symmetry is the horizontal line whose equation is_______.