Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 404: 36

$y = t^2-4t+6$ $x=t$ where $-\infty \lt t \lt \infty$ $y = t^2+2$ $x = t+2$ where $-\infty \lt t \lt \infty$

Work Step by Step

$y = x^2-4x+6$ We can make one parametric representation as follows: $y = t^2-4t+6$ $x=t$ where $-\infty \lt t \lt \infty$ We can make another parametric representation as follows: $y = x^2-4x+6$ $y = (x-2)^2+2$ Let $~~y = t^2+2$ $t=x-2$ $x = t+2$ where $-\infty \lt t \lt \infty$

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