dilation - stretching or compressing the graph of a function\nmove the slider on the graph to graph each…

dilation - stretching or compressing the graph of a function\nmove the slider on the graph to graph each function and describe the transformation.\ny = 2\\sqrt{x}\nvertical stretch\nvertical compression\ncomplete\ny = 0.5\\sqrt{x}\nvertical stretch\nvertical compression\ndone

dilation - stretching or compressing the graph of a function\nmove the slider on the graph to graph each function and describe the transformation.\ny = 2\\sqrt{x}\nvertical stretch\nvertical compression\ncomplete\ny = 0.5\\sqrt{x}\nvertical stretch\nvertical compression\ndone

Answer

Explanation:

Step1: Recall transformation rules

For a function $y = a\sqrt{x}$ compared to $y=\sqrt{x}$, if $|a|> 1$ it's a vertical stretch, if $0<|a|<1$ it's a vertical compression.

Step2: Analyze $y = 0.5\sqrt{x}$

Here $a = 0.5$ and since $0<0.5<1$, the graph of $y = 0.5\sqrt{x}$ is a vertical compression of the graph of $y=\sqrt{x}$.

Answer:

vertical compression