Question
a dilation that laterally stretches the graph of a function; occurs when the x-value of a function is multiplied by a constant, k, whose value is between 0 and 1 is called a
Answers
GPT-4o mini
A dilation that laterally stretches the graph of a function occurs when the x-value of the function is multiplied by a constant \( k \), where \( 0 < k < 1 \). This transformation is called a **horizontal stretch**.
In this case, the graph of the function is expanded horizontally, making it wider. If the x-values are multiplied by a factor less than one, the input values are spread out over a larger interval on the x-axis, resulting in the stretching effect.
Conversely, if \( k > 1 \), it would result in a **horizontal compression** of the graph.
In this case, the graph of the function is expanded horizontally, making it wider. If the x-values are multiplied by a factor less than one, the input values are spread out over a larger interval on the x-axis, resulting in the stretching effect.
Conversely, if \( k > 1 \), it would result in a **horizontal compression** of the graph.