Quadratic

2008-02-16 9:13 pm
Let f(x) = 3x^2 +6x +1 and g(x) = 3x^2 -12x +10.

a) Find the coordinates of the vertices of the graphs of y = f(x) and y = g(x).
b) If the graph of y = f(x) is translated to the graph of y = g(x),
i) describe the transformation,
ii) find the symbolic relation between f(x) and g(x).

回答 (1)

2008-02-16 9:45 pm
✔ 最佳答案
a) f(x)=3(x+1)^2 - 2, ie. vertex = (-1,-2)
g(x)=3(x-2)^2 - 2, ie. vertex = (2,-2)
b)(i) translate f(x) 3 units rightwards
(ii)f(x)=g(x+3) or g(x)=f(x-3)
參考: myself


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