Consider f(x)=2(x+6)^2-6.It is given that the graph of y=f(x) is first reduced along the y-axis to 1/2 times the original,and then translated leftwards by 2 units to the graph of y=g(x).
(a) Find the algebraic representation of g(x)
(b) Hence,find the coordinates of the vertex of the graph of y=g(x)
more about graphs of functions
2011-09-28 3:15 am
回答 (1)
2011-09-28 5:36 am
✔ 最佳答案
f(x) = 2(x + 6)^2 - 6Reduce 1/2 times along the y - axis becomes 1/2[2(x + 6)^2 - 6] = (x + 6)^2 - 3.
Translate leftwards by 2 unit, (x + 6) becomes (x + 2 + 6) = (x + 8)
So g(x) = (x + 8)^2 - 3
Vertex is (- 8, - 3).
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