Expression 19: "y" Subscript, 0 , Baseline plus left parenthesis, "p" minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseline equals negative StartFraction, 1 Over "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , EndFraction left parenthesis, left parenthesis, "x" Subscript, 0 , Baseline plus left parenthesis, "h" minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseline , right parenthesis minus "x" Subscript, 3 , Baseline , right parenthesis plus "y" Subscript, 3 , Baseliney0+p−y0t1=−1f′x0x0+h−x0t1−x3+y3
19
Expression 20: "t" Subscript, 1 , Baseline equals StartFraction, "x" Subscript, 3 , Baseline minus "x" Subscript, 0 , Baseline plus "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis Over "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "p" minus "y" Subscript, 0 , Baseline , right parenthesis plus "h" minus "x" Subscript, 0 , Baseline , EndFractiont1=x3−x0+f′x0y3−y0f′x0p−y0+h−x0
equals=
2.1 3 1 7 3 3 8 1 6 2 12.13173381621
20
Expression 21: "x" Subscript, 4 , Baseline equals "x" Subscript, 0 , Baseline plus left parenthesis, "h" minus "x" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baselinex4=x0+h−x0t1
equals=
5.3 1 9 1 4 8 9 3 6 1 75.31914893617
21
Expression 22: "y" Subscript, 4 , Baseline equals "y" Subscript, 0 , Baseline plus left parenthesis, "p" minus "y" Subscript, 0 , Baseline , right parenthesis "t" Subscript, 1 , Baseliney4=y0+p−y0t1
equals=
2.3 2 9 3 3 4 5 4 0 5 22.32933454052
22
Expression 23: "p" equals 2 "v" minus "D" equals 2p=2v−D
equals=
22
23
Dotted lines
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24
Expression 25: left parenthesis, "x" Subscript, 0 , Baseline plus left parenthesis, "h" minus "x" Subscript, 0 , Baseline , right parenthesis "t" , "y" Subscript, 0 , Baseline plus left parenthesis, "p" minus "y" Subscript, 0 , Baseline , right parenthesis "t" , right parenthesis Has graph.x0+h−x0t,y0+p−y0t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
25
Expression 26: left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline plus left parenthesis, "y" Subscript, 3 , Baseline minus "y" Subscript, 0 , Baseline , right parenthesis "t" , right parenthesis Has graph.x0,y0+y3−y0t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
26
Expression 27: left parenthesis, "h" plus left parenthesis, "x" Subscript, 0 , Baseline minus "h" , right parenthesis "t" , "p" plus left parenthesis, "y" Subscript, 3 , Baseline minus "p" , right parenthesis "t" , right parenthesis Has graph.h+x0−ht,p+y3−pt
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
27
Expression 28: left parenthesis, "h" plus left parenthesis, "x" Subscript, 4 , Baseline minus "h" , right parenthesis "t" , "p" plus left parenthesis, "y" Subscript, 4 , Baseline minus "p" , right parenthesis "t" , right parenthesis Has graph.h+x4−ht,p+y4−pt
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
28
Intersections
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29
Expression 30: "x" Subscript, 1 , Baseline equals StartFraction, negative "b" plus StartRoot, "b" squared minus 4 "a" "c" , EndRoot Over 2 "a" , EndFraction equals 2.2 3 6 0 6 7 9 7 7 5x1=−b+b2−4ac2a
equals=
2.2 3 6 0 6 7 9 7 7 52.2360679775
30
Expression 31: "x" Subscript, 2 , Baseline equals StartFraction, negative "b" minus StartRoot, "b" squared minus 4 "a" "c" , EndRoot Over 2 "a" , EndFraction equals negative 2.2 3 6 0 6 7 9 7 7 5x2=−b−b2−4ac2a
equals=
negative 2.2 3 6 0 6 7 9 7 7 5−2.2360679775
31
Vertex
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32
Expression 33: "h" equals StartFraction, negative "b" Over 2 "a" , EndFraction equals 0h=−b2a
equals=
00
33
Expression 34: "v" equals StartFraction, negative "d" Over 4 "a" , EndFraction equals negative 0.5v=−d4a
equals=
negative 0.5−0.5
34
Expression 35: "d" equals "b" squared minus 4 "a" "c" equals 0.2d=b2−4ac
equals=
0.20.2
35
Points
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36
45
powered by
powered by
Start black, left parenthesis, "x" Subscript, 0 , Baseline ; "y" Subscript, 0 , Baseline , right parenthesis End blackx0;y0
Start black, left parenthesis, "h" ; "v" , right parenthesis End blackh;v
Start black, left parenthesis, "x" Subscript, 3 , Baseline ; "y" Subscript, 3 , Baseline , right parenthesis End blackx3;y3
Start black, left parenthesis, "h" ; "p" , right parenthesis End blackh;p
Start black, left parenthesis, "x" Subscript, 4 , Baseline ; "y" Subscript, 4 , Baseline , right parenthesis End blackx4;y4
Start black, left parenthesis, "x" Subscript, 0 , Baseline ; "y" Subscript, 3 , Baseline , right parenthesis End blackx0;y3
Start black, "x" Subscript, 1 , Baseline End blackx1
Start black, "x" Subscript, 2 , Baseline End blackx2