1. 4.1 Distance Formula & Parabolas

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

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

4. You already know!
Parabolas

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

6. 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

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

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