Drawing A Hyperbola In Powerpoint 2011 For Mac

Mar 22, 2012  To draw a hyperbola in PowerPoint 2011 for Mac, follow these steps: Launch PowerPoint. You will see the Presentation Gallery which allows you to set all attributes of your new presentation, such as a preset Theme or template. How to Enable & Combine Shapes in PowerPoint for a Mac. When you're developing a PowerPoint presentation on your Mac, you can combine shapes to make a new shape to help get your message across. One example is using a circle and then combining it with an arrow to point to a sales figure or product image in a.

Up until now, the steps of drawing a hyperbola were exactly the same as for drawing an ellipse, but here is where things get different: The points you marked as a (on the transverse axis) are your vertices. Use these points to draw a rectangle that will help guide the shape of your hyperbola. A hyperbola consists of two curves that are symmetrical. To graph the hyperbola, we will plot the two vertices and asymptotes. The asymptotes guide in where to draw the hyperbola. Remember the two patterns for hyperbolas: To graph a hyperbola. Determine if it is horizontal or vertical. Find the center point, a, and b. Graph the center point.

Certain worksheets or charts may look much better if you change their orientation. So in today's how-to article we'll have a look at how to rotate Excel table or chart. This mainly affects the layout of the printed page, then you will also have a chance to see how to select paper size before printing.

Rotating the Excel chart Excel charts help to make sense of your data. You can create line, pie and bar charts by selecting columns of data or using Excel's built-in tools. If you see that they look better rotated from portrait to landscape, you can do this in a couple of clicks. Click on the chart to see Chart Tools on the Ribbon. Select the Format tab. Go to the Chart Elements drop down list and pick Vertical (Value) Axis. Click the Format Selection button to see the Format Axis window.

On the Format Axis window tick the Values in reverse order checkbox. Change the spreadsheet orientation Some worksheets are wider than they are tall, so you may find that printouts look better if you switch the orientation from the portrait mode to the landscape one. You can find the Orientation button on the Page Layout tab of the ribbon. Click the button to get a drop-down menu and select between the Portrait and Landscape options.

Hi Bron, Thank you for the image. At the moment we are writing a new post that covers many possible ways of rotating a chart.

I will post a comment here as soon as the new post is published. You can achieve the result you are looking for in this way: - Double click on the horizontal labels of your chart. The 'Format axis' pane will appear at the right of your chart. Tick the 'Values in reverse order' checkbox. You can do the same for categories: - Double click on the vertical labels of your chart and then tick the 'Categories in reverse order' checkbox in the 'Format axis' - Axis options pane.

HyperbolaConic SectionsHyperbolaThe plane can intersect two nappes of the cone resulting in a hyperbola.Hyperbola - DefinitionA hyperbola is the set of all points in a plane such that the difference in the distances from two points (foci) is constant. d1 d2 is a constant value.Finding An EquationHyperbolaHyperbola - DefinitionWhat is the constant value for the difference in the distance from the two foci? Let the two foci be (c, 0) and (-c, 0). The vertices are (a, 0) and (-a, 0).

d1 d2 is the constant.If the length of d2 is subtracted from the left side of d1, what is the length which remains? d1 d2 = 2aHyperbola - EquationFind the equation by setting the difference in the distance from the two foci equal to 2a.

d1 d2 = 2aHyperbola - EquationSimplify: Remove the absolute value by using +. Get one square root by itself and square both sides. Hyperbola - EquationSubtract y2 and square the binomials. Solve for the square root and square both sides. Hyperbola - EquationSquare the binomials and simplify.

Drawing A Hyperbola In Powerpoint 2011 For Mac

Get xs and ys together on one side. Hyperbola - EquationFactor. Divide both sides by a2(c2 a2)Hyperbola - EquationLet b2 = c2 a2 where c2 = a2 + b2 If the graph is shifted over h units and up k units, the equation of the hyperbola is: Hyperbola - Equationwhere c2 = a2 + b2 Recognition: How do you tell a hyperbola from an ellipse?Answer: A hyperbola has a minus (-) between the terms while an ellipse has a plus (+).Graph - Example #1HyperbolaHyperbola - GraphGraph: Center: (-1, -2) The hyperbola opens in the x direction because x is positive. Transverse Axis: y = -2Hyperbola - GraphGraph: Vertices (2, -2) (-4, -2)Construct a rectangle by moving 4 units up and down from the vertices.Construct the diagonals of the rectangle.Hyperbola - GraphGraph: Draw the hyperbola touching the vertices and approaching the asymptotes.Where are the foci?Hyperbola - GraphGraph: The foci are 5 units from the center on the transverse axis.Foci: (-6, -2) (4, -2)Hyperbola - GraphGraph: Find the equation of the asymptote lines.Slope = Use point-slope form y y1 = m(x x1) since the center is on both lines.

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PowerPoint has a Curve Shape tool that lets you draw curved lines or shapes on your PowerPoint slides. With the PowerPoint Curve Shape tool you can produce lines and shapes. Here is the procedure for drawing a curved line or shape:

1Click Shapes group on the Insert tab, then select the Curve shape tool from the Shapes gallery.

The cursor changes to a cross-hair pointer.

2Click where you want the curved line or shape to begin.

Your curve can go up or down, left or right.

3Click where you want the first turn in the curve to appear.

The straight line turns to a curved line, bent around the point where you clicked. As you move the mouse, the bend of the curve changes. Each time you click, a new bend is added to the line. Keep clicking until the line is as twisty as you want.

4Double-click where you the end curved line to end.

To create a closed shape, double-click over the starting point.

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