J_Thompson

__**Statue of Liberty, New York**__

305 ft. tall


 * __Parent graph of Arch:__** Quadratic

y= .0064x^2 + 630

630/305 = 2.0656


 * __Scale Change:__** s(x, y) --> (1x/2.0656, 1y/2.0656) --> (.4841x, .4841y)

a: .4841 b: .4841

y/ .4841= ( .0064x^2/ .4841) + 630

.4841(y/ .4841)= (.0064x^2/ .4841) + (630) .4841


 * __New Equation:__** y= .0132x^2 + 305

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 * __Busch Stadium, Missouri__**

130 ft. tall


 * __Parent graph of Arch:__** Quadratic

y= .0064x^2 + 630

630/130 = 4.8462


 * __Scale Change:__** s(x, y) --> (1x/4.8462, 1y/4.8462) --> (.2063x, .2063y)

a: .2063 b: .2063

y/.2063 = (.0064x^2/.2063) +630

.2063(y/.2063) = (.0064x^2/.2063) + (630).2063


 * __New Equation:__** y = .0310x^2 + 130

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__**Empire State Building, New York**__

1,250 ft. tall


 * __Parent graph of Arch:__** Quadratic

y= .0064x^2 + 630

630/1,250 = .504


 * __Scale Change:__** s(x, y) --> (1x/ .504, 1y/ .504) --> (1.9841x, 1.9841y)

a: 1.9841 b: 1.9841

y/ 1.9841 = (.0064x^2/ 1.9841) + 630

1.9841(y/1.9841) = (.0064x^2/1.9841) + (630)1.9841


 * __New Equation:__** y = .0032x^2 + 1249.983

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