module iii vocabulary part i. module ii module iii is called transformational geometry. in this...
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MODULE III VOCABULARYPART I
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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.
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MODULE II
• We can move many types of figures around on the coordinate plane.
• One of the first we will discuss is a parabola.
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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.
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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.
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MODULE II
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MODULE II
• 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.
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MODULE II
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MODULE II
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MODULE II
• 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
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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.
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MODULE II
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MODULE II
• The proper equation would be...
4s(y – k) = (x – h)2 4(1)(y – -2) = (x – 3)2
4(y + 2) = (x – 3)2
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MODULE II
• You will also need to do what we just did…backwards.
• Meaning, given the parabola you will have to identify the axis of symmetry, the vertex, the directrix and the focus.