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The parabola y = 2x^2 - 5x + 4 is shifted two units to the right, then one unit down.  What is the equation of the new parabola?

 Sep 8, 2020
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y = 2 ( x^2-2.5x ) + 4         complete the square for x

y = 2 ( x-1.25)^2  + .875      now shift h,k as requested

y = 2 ( x-3.25) -.125  

 

Here is a graph:

https://www.desmos.com/calculator/dwmvmim5cg

 Sep 8, 2020

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