Question
a transformation that stretches or compresses the graph of a function horizontally or vertically is called a
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GPT-4o mini
A transformation that stretches or compresses the graph of a function horizontally or vertically is called a **dilation**.
- A **vertical dilation** alters the function's output values, which can either stretch or compress the graph vertically (along the y-axis).
- A **horizontal dilation** changes the input values of the function, stretching or compressing the graph horizontally (along the x-axis).
These transformations can be applied using specific coefficients in the function's equation. For example, multiplying the function by a factor greater than 1 vertically stretches it, while a factor between 0 and 1 compresses it. For horizontal transformations, the effect is reversed: a factor greater than 1 compresses the graph, while a factor between 0 and 1 stretches it.
- A **vertical dilation** alters the function's output values, which can either stretch or compress the graph vertically (along the y-axis).
- A **horizontal dilation** changes the input values of the function, stretching or compressing the graph horizontally (along the x-axis).
These transformations can be applied using specific coefficients in the function's equation. For example, multiplying the function by a factor greater than 1 vertically stretches it, while a factor between 0 and 1 compresses it. For horizontal transformations, the effect is reversed: a factor greater than 1 compresses the graph, while a factor between 0 and 1 stretches it.