函數 20分

a)
f(x)=g(x-2)
b)
若把y=g(x)的圖象沿y軸正方向平移10單位， 可變成y=h(x)的圖象
即h(x)=g(x)+10
所以
x -5 -4 -3 -2 -1 0 1
g(x) -30 - 16 -6 0 2 0 -6
x -5 -4 -3 -2 -1 0 1
h(x) (-20 ) (-6 ) (4 ) (10 ) (12 ) (10 ) (4 )
己知h(x)= -2x^2-4x+10 以符號形式表示
g(x)=h(x)-10
g(x)=-2x^2-4x
f(x)=g(x-2)
f(x)=-2(x-2)^2-4(x-2)
f(x)=-2(x^2-4x+4)-4x+8
f(x)=-2x^2+8x-8-4x+8
f(x)=-2x^2+4x

a) f(x)=g(x-2)

b)h(x)=g(x)+10

x -5 -4 -3 -2 -1 0 1
h(x) (-20 ) (-6 ) (4 ) (10 ) (12 ) (10 ) (4 )

g(x)=h(x)-10

g(x)=-2x^2-4x

f(x)=g(x-2)

f(x)=-2(x-2)^2-4(x-2)

f(x)=-2x^2+4x

一個簡明扼要, 而且又可拿滿分的step