In the function y=-2(x-1)^2+4, what effect does the number 4 have on the graph, as compared to the graph of the function y=x^2?

1 answer:

4 0

"It shifts the graph down 4 units" is the effect that the number 4 have on the graph, in the function y=-2(x-1)^2+4 when <span>compared to the graph of the function y=x^2. The correct option among all the options that are given in the question is the third option or option "C". I hope the answer has come to your help.</span>

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Finding the interpolating polynomial for the function

zhenek [66]

Answer:

f(x) = x^3 -2x^2 -3x +7

Step-by-step explanation:

Cubic polynomial regression using your favorite tool (graphing calculator, spreadsheet, or web site) will tell you the interpolating polynomial is ...

f(x) = x^3 -2x^2 -3x +7

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You can use Lagrange polynomial interpolation. It gives the function as the sum of four factored cubics:

$f(x)=3\cdot\dfrac{(x-2)(x-3)(x-4)}{(1-2)(1-3)(1-4)}+1\cdot\dfrac{(x-1)(x-3)(x-4)}{(2-1)(2-3)(2-4)}+\\\\\text{ }\qquad7\cdot\dfrac{(x-1)(x-2)(x-4)}{(3-1)(3-2)(3-4)}+27\cdot\dfrac{(x-1)(x-2)(x-3)}{(4-1)(4-2)(4-3)}$