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CalcGospel 國際數學圖譜

Graph Transformations Explorer

Follow each point as a single translation or stretch transforms y = f(x)

中文辅助说明

先选择一条原始曲线,再选择一种平移或伸缩,图上每个关键点都会同步移动。控制器中的数值表示图形实际移动的距离或坐标实际伸缩的倍数;公式会自动处理水平变换所需的相反符号或倒数。这里刻意包含没有给出函数表达式的考试型曲线,让你把注意力放在点的坐标如何变化,并辨清函数外部变化影响纵坐标、函数内部变化影响横坐标。

Edexcel P1 · Single transformations

The formula for f is deliberately hidden

Curve 01
Graph transformation coordinate plane The grey dashed graph is y equals f of x. The indigo graph is the selected single transformation.
y = f(x) y = f(x − 2) Fixed axes · one square = one unit
Original y = f(x)
Transformed y = f(x − 2)

Point mapping

(x, y) → (x + 2, y)

What changed?

Every point moves 2 units to the right. The formula uses the opposite sign inside f.