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 horizontal and a vertical hyperbola, dissected for your viewing pleasure. The equation for a horizontal hyperbola is The equation for a vertical hyperbola is To graph a hyperbola, such as this example, you follow these simple steps:. Mark the center. Because this equation is for a vertical hyperbola, you find that the center ( h, v) of this hyperbola is (–1, 3).
Drawing A Hyperbola In Powerpoint 2011 For Mac
Remember, the signs of the numbers inside the parentheses are opposite those of the coordinates of the center. Also remember that h is inside the parentheses with x, and v is inside the parentheses with y. For this example, the quantity with y squared comes first, but h and v don’t switch places.
Office 2011 for Mac All-in-One For Dummies By Geetesh Bajaj, James Gordon Even with the plethora of prefabricated shapes to choose from in Office 2011’s Media browser, you may have a hankering for some good old-fashioned simple shapes, or maybe you want to try your hand at creating your own shapes. Writer whose major skill sets include the MS Office Suite (Word, PowerPoint, Excel, Publisher), Photoshop, Paint, desktop publishing, design and graphics.
The h and v always remain true to their respective variables, x and y. From the center in Step 1, find the transverse and conjugate axes. Go up and down the transverse axis a distance of 4 (because 4 2 is under y), and then go right and left 3 (because 3 2 is under x). But don’t connect the dots to get an ellipse! 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. Because you went up and down 4, the height of your rectangle is 8; going left and right 3 gives you a width of 6.
Draw diagonal lines through the center and the corners of the rectangle that extend beyond the rectangle. This step gives you two lines that will be your asymptotes. Sketch the curves. Beginning at each vertex separately, draw the curves that approach the asymptotes the farther away from the vertices the curve gets. The graph approaches the asymptotes but never actually touches them.
In Office 11 (Mac) at the top, go to VIEW and make sure 'Standard' is selected under 'Toolbars'. Go to Insert → WordArt. Type in your text in the wordart box. Hit the 'Format' button, right next to 'Home'. One of your new selections under 'Text Styles' should be 'Effects'. Click on Effects and select the last selection, 'Transform'. You should have a whole selection of options including curving text up or down, and making circles.
You can edit the curvature by pulling on the text box handles, up and down, and on the corners. You can rotate the text box by clicking and holding on the long 'knob' on the text box.