Tangents to a Parabola

Expression 23: "c" Subscript, 5 , Baseline equals hsv left parenthesis, 200 , 1 , 1 , right parenthesis

Expression 24: "a" "x" squared equals "a" Subscript, 1 , Baseline left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus "y" Subscript, 0 , Baseline

Expression 25: "a" "x" squared minus "a" Subscript, 1 , Baseline "x" plus "a" Subscript, 1 , Baseline "x" Subscript, 0 , Baseline minus "y" Subscript, 0 , Baseline equals 0

Expression 26: "A" Subscript, 1 , Baseline equals "a"

equals

0.1 4

Expression 27: "B" Subscript, 1 , Baseline equals negative "a" Subscript, 1 , Baseline

equals

negative 1.4 6 6 0 8 7 5 1 9 7 1

Expression 28: "C" Subscript, 1 , Baseline equals "a" Subscript, 1 , Baseline "x" Subscript, 0 , Baseline minus "y" Subscript, 0 , Baseline

equals

3.8 3 8 2 3 6 8 1 3 3 1

Expression 29: "d" Subscript, 1 , Baseline equals "B" squared minus 4 "A" Subscript, 1 , Baseline "C" Subscript, 1 , Baseline

equals

negative 4.4 4 0 8 9 2 0 9 8 5 times 10 to the negative 16th power

Expression 30: "x" Subscript, 1 , Baseline equals StartFraction, negative "B" Subscript, 1 , Baseline plus "d" Subscript, 1 , Baseline Over 2 "A" Subscript, 1 , Baseline , EndFraction

equals

5.2 3 6 0 2 6 8 5 6 1 1

Expression 31: "y" Subscript, 1 , Baseline equals "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis

equals

3.8 3 8 2 3 6 8 1 3 3 1

Expression 32: "A" Subscript, 2 , Baseline equals "a"

equals

0.1 4

Expression 33: "B" Subscript, 2 , Baseline equals negative "a" Subscript, 2 , Baseline

equals

0.6 8 2 0 8 7 5 1 9 7 1 1

Expression 34: "C" Subscript, 2 , Baseline equals "a" Subscript, 2 , Baseline "x" Subscript, 0 , Baseline minus "y" Subscript, 0 , Baseline

equals

0.8 3 0 7 9 1 7 5 8 1 1 8

Expression 35: "d" Subscript, 2 , Baseline equals "B" squared minus 4 "A" Subscript, 2 , Baseline "C" Subscript, 2 , Baseline

equals

negative 5.5 5 1 1 1 5 1 2 3 1 times 10 to the negative 17th power

Expression 36: "x" Subscript, 2 , Baseline equals StartFraction, negative "B" Subscript, 2 , Baseline plus "d" Subscript, 2 , Baseline Over 2 "A" Subscript, 2 , Baseline , EndFraction

equals

negative 2.4 3 6 0 2 6 8 5 6 1 1

Expression 37: "y" Subscript, 2 , Baseline equals "f" left parenthesis, "x" Subscript, 2 , Baseline , right parenthesis

equals

0.8 3 0 7 9 1 7 5 8 1 1 8

Punkter

`\textcolor{black}{\left(\ x_0\ ;\ y_0\ \right)}` left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis

Label:

equals

left parenthesis, 1.4 , negative 1.7 8 5 7 1 4 2 9 , right parenthesis

Hidden Label: left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis

Label

equals

left parenthesis, 1.4 , negative 1.7 8 5 7 1 4 2 9 , right parenthesis

`\left(\ x_1\ ;\ y_1\ \right)` left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline left brace, "K" equals 0 , right brace , right parenthesis

Label:

equals

left parenthesis, 5.2 3 6 0 2 6 8 6 , 3.8 3 8 2 3 6 8 1 , right parenthesis

`\left(\ x_2\ ;\ y_2\ \right)` left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline left brace, "K" equals 0 , right brace , right parenthesis

Label:

equals

left parenthesis, negative 2.4 3 6 0 2 6 8 6 , 0.8 3 0 7 9 1 7 6 , right parenthesis

Label: left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline left brace, "K" equals 1 , right brace , right parenthesis

Label:

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Label: left parenthesis, "x" Subscript, 2 , Baseline , "y" Subscript, 2 , Baseline left brace, "K" equals 1 , right brace , right parenthesis

Label:

undefined

Expression 45: "K" equals "C" Subscript, "o" "o" "r" "d" "i" "n" "a" "t" "e" "s" , Baseline

equals

Start black, left parenthesis, "x" Subscript, 0 , Baseline ; "y" Subscript, 0 , Baseline , right parenthesis End black

left parenthesis, "x" Subscript, 1 , Baseline ; "y" Subscript, 1 , Baseline , right parenthesis

left parenthesis, "x" Subscript, 2 , Baseline ; "y" Subscript, 2 , Baseline , right parenthesis