Question

Rewrite y = align="absmiddle" class="latex-formula"> – 2 to make it easy to graph using a translation. Describe the graph.
Rewritten, y =$\sqrt{x}-5$ – 2. It is the graph of y = $\sqrt{x}$ translated 5 units left and 2 units down.

Rewritten, y =$\sqrt{x} +5$ – 2. It is the graph of y = $\sqrt{x}$ translated 5 units right and 2 units down.

Rewritten, y =$\sqrt[3]{x} +5$ – 2. It is the graph of y = $\sqrt[3]{x}$ translated 5 units left and 2 units down.

Rewritten, y = $\sqrt[3]{x} +5$– 2. It is the graph of y = $\sqrt[3]{x}$translated 5 units right and 2 units down.

Answer 1

Answer:

(1) We have been given a function: $y=\sqrt{9x}+45-2$

We can rewrite it using translation is:  

It is the graph of $y=\sqrt{9x}$ translated 45 units left and 2 units down.

(2) Now, $y=\sqrt{x}-5-2$

So this is the graph of $y=\sqrt{x}$ translated 5 units right and 2 units down.

(3) $y=\sqrt{x}+5-2$

So, this is the graph of $y=\sqrt{x}$ translated 5 units left and 2 units down.

(4) $y=\sqrt[3]{x}+5-2$

It is the graph of $y=\sqrt[3]{x}$

translated 5 units left and 2 units down.

(5) $y=\sqrt[3]{x}+5-2$

It is the graph of $y=\sqrt[3]{x}$

translated 5 units left and 2 units down.