How do you reflect a function over the x-axis?

We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect it about the y-axis by graphing y=f(-x). We can even reflect it about both axes by graphing y=-f(-x).

How do you flip x-axis in sheets?

Switch rows & columns in a chart

  1. On your computer, open a spreadsheet in Google Sheets.
  2. Double-click the chart you want to change.
  3. At the right, click Setup.
  4. Click Switch rows / columns.

How do you flip axis in Excel 2020?

How to switch axes in excel

  1. Click on the chart and choose the Design tab,
  2. Go to Data >> Switch Row / Column.
  3. Now, the X-axis switched with the Y-axis without the need for transposing data.

How do I reverse the data series in an Excel chart?

On the Format tab, in the Current Selection group, click Format Selection. In the Axis Options category, under Axis Options, select the Series in reverse order check box.

How do you flip a function?

The function translation / transformation rules:

  1. f (x) + b shifts the function b units upward.
  2. f (x) − b shifts the function b units downward.
  3. f (x + b) shifts the function b units to the left.
  4. f (x − b) shifts the function b units to the right.
  5. −f (x) reflects the function in the x-axis (that is, upside-down).

How do you mirror a function?

How To: Given a function, reflect the graph both vertically and horizontally.

  1. Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.
  2. Multiply all inputs by –1 for a horizontal reflection.

How do you flip x and y axis in Excel?

Change the way that data is plotted

  1. Click anywhere in the chart that contains the data series that you want to plot on different axes. This displays the Chart Tools, adding the Design, Layout, and Format tabs.
  2. On the Design tab, in the Data group, click Switch Row/Column.

How do I change the axis on Excel?

Click anywhere in the chart for which you want to display or hide axes. This displays the Chart Tools, adding the Design, Layout, and Format tabs. On the Layout tab, in the Axes group, click Axes. Click the type of axis that you want to display or hide, and then click the options that you want.

How do I flip columns and rows in Excel?

Here’s how:

  1. Select the range of data you want to rearrange, including any row or column labels, and either select Copy.
  2. Select the first cell where you want to paste the data, and on the Home tab, click the arrow next to Paste, and then click Transpose.

How do you transpose in Excel?

TRANSPOSE function

  1. Step 1: Select blank cells. First select some blank cells.
  2. Step 2: Type =TRANSPOSE( With those blank cells still selected, type: =TRANSPOSE(
  3. Step 3: Type the range of the original cells. Now type the range of the cells you want to transpose.
  4. Step 4: Finally, press CTRL+SHIFT+ENTER.

How do you flip the Axis in Excel?

Change the way that data is plotted Click anywhere in the chart that contains the data series that you want to plot on different axes. This displays the Chart Tools, adding the Design, Layout, and Format tabs. On the Design tab, in the Data group, click Switch Row/Column.

How do I interchange axis in Excel?

First, right-click on either of the axes in the chart and click ‘Select Data’ from the options. A new window will open. Click ‘Edit’. Another window will open where you can exchange the values on both axes.