# B.2.2.16 ok wanted of modify this graph to be this......

• MHB
• karush
In summary, the conversation is about modifying a graph to represent the function $y=-\sqrt{\frac{x^2+1}{2}}$ for $-\infty<x<\infty$. The modified graph would be a smooth, red curve that starts from $(-3,1)$ and ends at $(3,1)$.
karush
Gold Member
MHB
\begin{tikzpicture}
[declare function = {radius(\phi)=sqrt((3*sin(\phi)+cos(\phi)) / (sin(\phi)^3 -cos(\phi)^3)); },]

\draw[->] (-3,0) -- (3.4,0);
\draw[->] (0,-2) -- (0,4.2);

\draw[domain=50:{atan(-1/3)+179.99}, variable=\phi, red, smooth, ultra thick] plot ({radius(\phi) * cos(\phi)}, {1 + radius(\phi) * sin(\phi)});
\draw[domain=-130:{atan(-1/3)-0.01}, variable=\phi, red, smooth, ultra thick] plot ({radius(\phi) * cos(\phi)}, {1 + radius(\phi) * sin(\phi)});
\end{tikzpicture}

ok wanted of modify this graph to be this
$y=−\sqrt{\dfrac{(x2+1}{2}}\textit{ (c) }−\infty<x<\infty$

\begin{tikzpicture}[declare function = {radius(\phi)=sqrt(-2*(x^2+1)); },]\draw[->] (-3,0) -- (3.4,0);\draw[->] (0,-2) -- (0,4.2);\draw[domain=-130:130, variable=\phi, red, smooth, ultra thick] plot ({radius(\phi) * cos(\phi)}, {1 + radius(\phi) * sin(\phi)});\end{tikzpicture}

## 1. How do you modify a graph to be a specific format?

To modify a graph to a specific format, you will need to use graphing software or a programming language that allows you to create and edit graphs. You can then use the tools and features available to customize the graph according to your desired format.

## 2. What are some common modifications that can be made to a graph?

Some common modifications that can be made to a graph include changing the title, adjusting the axes labels and range, adding or removing data points, changing the type of graph (line, bar, pie, etc.), and customizing the colors and formatting of the graph elements.

## 3. Can you modify a graph without changing its underlying data?

Yes, it is possible to modify a graph without changing its underlying data. This can be done by using the tools and features available in graphing software or programming languages to manipulate the appearance of the graph while keeping the data unchanged.

## 4. How can a graph be modified to better communicate the data?

A graph can be modified to better communicate the data by making sure the data is accurately represented, choosing a suitable type of graph for the data, organizing the data in a meaningful way, and using clear and concise labeling and formatting.

## 5. Is there a specific method for modifying a graph or is it subjective?

There is no one specific method for modifying a graph as it can vary depending on the type of graph and the software or language being used. However, there are some general guidelines and best practices for creating and modifying graphs that can help ensure the data is accurately and effectively communicated.

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