The quadratic function y = 2x ^ - 8x + 3 is transformed into y = a (x + H) ^ 2 + K by collocation method | Math enthusiast | Mathematical art

The quadratic function y = 2x ^ - 8x + 3 is transformed into y = a (x + H) ^ 2 + K by collocation method

y=2(x-4x)+3 =2(x-4x+4)-12+3 =2(x-2)-9

The quadratic function y = - 2x2 + 4x + 3 is transformed into the form of a (x + H) 2 + K

y=-2x2+4x+3
=-2(x^2-2x+1)+2+3
=-2(x-1)^2+5

The quadratic function y = 4x ^ 2 + 8x is reduced to the form of y = a (x + m) ^ 2 + K by the collocation method

First put forward 4, = = > y = 4 (x ^ 2 + 2x), and then observe the formula in brackets. If experience is enough, it is easy to see that (x ^ 2 + 2x + 1) can match (x + 1) ^ 2, then add 1, and finally - 4, that is, y = 4 (x + 1) ^ 2-4. If you can't see it, there is a quick way to expand the required form, that is, y = a (x ^ 2 + 2mx + m ^ 2) +

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