Question

the graph of $y = f(6x)$ is obtained by a ____ shrink of the graph of $y = f(x)$ by dividing each of its ____ -coordinates by 6
the graph of $y = f(6x)$ is obtained by a dropdown shrink of the graph of $y = f(x)$ by dividing each of its dropdown -coordinates by 6
dropdown options: horizontal, vertical

Explanation:

For function transformations, when we have \(y = f(kx)\) where \(k>1\), this represents a horizontal shrink. This transformation works by dividing each \(x\)-coordinate (horizontal coordinate) of the original function \(y=f(x)\) by \(k\). Here, \(k=6\), so it is a horizontal shrink by dividing horizontal coordinates by 6.

Answer:

First blank: horizontal
Second blank: horizontal