The highest point on the graph of y=f(x) is (-1,6).What is t
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The highest point on the graph of y=f(x) is (-1,6).What is the highest point on the graph of
y=4 f(x-3)+5 thanks!
y=4 f(x-3)+5 thanks!
函数y=f(x) 图像的最高点(-1,6),那么y=4 f(x-3)+5的最高点是多少?
考察基本的坐标变换知识,先求y最大值:4*6+5=29
再求对应x值:x=2
故所求点(2,29)
再问: 谢谢回答,但我有一点不明白,f(x-3)不代表整个向右移3个单位吗,不应该先变成(2,6),然后扩大4倍变成(8,24),再向上平移变成(8,29)吗?为什么是(2,29)
谢谢了 明白了一定采纳
再答: 扩大4倍是对f(x)值的变化,初等数学中默认f(x)值都是y值,相当于只在纵坐标上放大了4倍,横坐标不变。
考察基本的坐标变换知识,先求y最大值:4*6+5=29
再求对应x值:x=2
故所求点(2,29)
再问: 谢谢回答,但我有一点不明白,f(x-3)不代表整个向右移3个单位吗,不应该先变成(2,6),然后扩大4倍变成(8,24),再向上平移变成(8,29)吗?为什么是(2,29)
谢谢了 明白了一定采纳
再答: 扩大4倍是对f(x)值的变化,初等数学中默认f(x)值都是y值,相当于只在纵坐标上放大了4倍,横坐标不变。
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