4.1 Distance Formula & Parabolas

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Presentation transcript:

4.1 Distance Formula & Parabolas

Distance Formula: Distance d between two points Ex 1) Find distance between (–1, 3) and (7, –3)

Example 2 Find shortest distance between (4, 3) and the line x = –5 Is the perpendicular line drawn from the point to the given line (–5, 3) (4, 3) Find the distance between (4, 3) and (–5, 3) x = –5

You already know! Parabolas

Ex 3) a = –1 Vertex: A of S: y = 3 < 0 Opens left

Ex 4) Vertex: a = 1 > 0 Opens right A of S: y = 1 Isolate radical: Square Vertex: a = 1 > 0 Opens right A of S: y = 1

But, the original equation was Graph of original equation is only top half of parabola

Homework #401 Pg. 220 1 – 8 all, 37 – 49 odd