Presentation on theme: "MODULE III VOCABULARY PART I. MODULE II Module III is called transformational geometry. In this module, we will be learning mathematically how to move."— Presentation transcript:
MODULE III VOCABULARY PART I
MODULE II Module III is called transformational geometry. In this module, we will be learning mathematically how to move figures around on a coordinate plane.
MODULE II We can move many types of figures around on the coordinate plane. One of the first we will discuss is a parabola.
MODULE II A parabola is the set of all points in the plane equidistant from a given focus and a given directrix. The lowest or highest point of the parabola is called the vertex.
MODULE II A directrix is simply any horizontal line on a coordinate plane. A focus is simply a point NOT on the directrix. The axis of symmetry is the line right down the middle.
One of the standards I have to meet with you is that we must be able to construct a parabola, given a focus and a directrix. Follow along with me on the next slide as we do this.
You must also know how to write the equations for such graphs. The general formula for a parabola is… 4s(y – k) = (x – h) 2
MODULE II (h, k) is the vertex. (x, y) is any point on the parabola. s is the distance from the parabola from the focus and the directrix.