INPUT ARTICLE: Article: Consider the equation y = x2 +1. This shifts the original parabola upward 1 unit. The vertex is now (0, 1) instead of (0, 0). It will retain the exact shape of the original parabola, but every y-coordinate will be shifted upward 1 unit. So, instead of (-1, 1) and (1, 1), we plot (-1, 2) and (1, 2). Take the equation y = x2 -1. We're shifting the original parabola downward 1 unit, so that the vertex is now (0, -1) instead of (0, 0). It will still have the same shape of the original parabola, but every y-coordinate will be shifted downward 1 unit. So, instead of (-1, 1) and (1, 1), for instance, we plot (-1, 0) and (1, 0). Consider the equation y = (x + 1)2. This shifts the original parabola one unit to the left. The vertex is now (-1, 0) instead of (0, 0). It retains the shape of the original parabola, but every x-coordinate is shifted to the left one unit. Instead of (-1, 1) and (1, 1), for instance, we plot (-2, 1) and (0, 1). Consider the equation y = (x - 1)2. This is the original parabola shifted one unit to the right. The vertex is now (1, 0) instead of (0, 0). It retains the shape of the original parabola, but every x-coordinate will be shifted to the right one unit. Instead of (-1, 1) and (1, 1), for instance, we plot (0, 1) and (2, 1).

SUMMARY: Shift a parabola upward. Shift a parabola downward. Shift a parabola to the left. Shift a parabola to the right.


INPUT ARTICLE: Article: Adding some small plants to your office can be a great way to make your environment feel more natural, comfortable and personal.  Some plants can add a pleasant fragrance or a unique splash of color to your office.  If your office is feeling empty or boring, try picking out some of your favorite plants and adding them to your work space.  Make sure you'll have enough space to store your plant. Decide if the color and shape of the plant will be a good fit with the rest of your decorations. Make sure your office has the right temperature and lighting that your plant requires. Don't forget to water your plant after you've added it to your office. You might not be able to bring your family to work with you, but you can bring in some family photos.  Hanging up family photos can be a great way to showcase your family to coworkers or clients and can make your work space feel more like home.  Try adding some family photos to your work space to make it more comfortable and personal.  You might try keeping some photos close to your desk to easily remind you of home. You can try putting larger family photos around your office to help others feel at ease in your office. If you are able to do so, adding contact paper to your office furniture or equipment can be a quick and easy way to bring some exciting color and style to your work space.  Contact paper comes in a large variety of styles, allowing you to pick the pattern or color that's right for your office.  Take some time to browse for your favorite styles of contact paper to help make your office space a unique one.  Most types of contact paper will require you to peel off the backing and stick the paper onto whatever surface you'd like. Contact paper can easily be cut to conform to the shape of whatever surface you're applying it to. Make sure you aren't applying contact paper to anything that isn't yours. Many people who work in an office enjoy hanging up artwork that they find motivational or inspiring.  Artwork can change the feel, style and mood of any space and offices are no different.  Consider hanging some of your favorite pieces of art in your office to make it your own.  Avoid any art that wouldn't be considered appropriate for your work place. Try to select art that sets the appropriate tone for your professional role. Displaying art can be a great way to show some of your personality to anyone visiting your office. You might ask local artists to display their work in your office to help connect with the community. Although colors may seem simple, they can have a big impact on how your office space feels.  Colors can set various moods or present certain images to someone who visits your office.  You'll want to carefully think about how the colors in your office are affecting the feel of the room or how other people might feel when visiting.  Beige or white can be good choices for law or financial offices. A graphic artist's office might benefit from bright or vibrant colors. Try to select a color scheme that fits your professional role.

SUMMARY: Bring in some plants. Add some photos to your office. Use contact paper to add some decoration. Display some art. Use colors to create your ideal office space.


INPUT ARTICLE: Article: You should signal to your partner you are about to start the suplex by bending slightly at the knees. The key to smoothly executing this move is to be in sync with your partner. As you bend at the knees, your partner should follow the motion and prepare to spring upwards.  Failing to properly signal your partner could result in them being surprised. In this case, you might do serious harm to their neck. Always be ready to stop. If your partner is unsure or doesn't feel comfortable and asks you to let go, you should do so immediately. At this point, both you and your partner should be in a bent position, with your arms firmly around each other's necks, and your free hands gripped firmly onto each other's clothing. From the knees-bent position you should drive down with your heels and straighten your body until your back until is completely straight. Pull your partner into this upwards motion with the arm gripping their shorts/pants helping to lift them above you. As you do so, your partner should spring upwards. Guide them up over your head in a smooth arc with the hand gripping his shorts/pants. Your partner should remain in a bent position until they have cleared your shoulder and is over your head. Straightening their body before he reaches this position will make it more difficult to perform the suplex. Once your partner is hoisted over your shoulder, all you need to do is fall backwards. Try to do this in a slow, controlled fashion. Falling too quickly can take your partner by surprise or result in injury to them.  Both you and your partner should be positioned so that when you fall, you fall flat on the meaty part your back. If you feel that you or your partner are twisted, try to correct this before contact with the ground. Falling heavily while in a twisted position can do serious, permanent damage to your spine. This could result in a permanent injury, like paralysis, so you should exercise extreme caution. Up to this point, you'll want both you and your partner to have a firm hold on each other. At the halfway point between your upright, vertical position and the ground, you should loosen your hold on each other. This way, if something goes wrong, neither person is applying added pressure.

SUMMARY: Signal the start of the move. Straighten at your waist. Follow through backwards in a falling motion. Disengage as you approach the ground.


INPUT ARTICLE: Article: For the first 2 days after your injury, you should sleep with your back upright. Try sleeping in a reclining chair or propping yourself up on pillows in bed. Lie back in a reclined position with your shoulders propped up and supported. If you have an adjustable reclining bed, move the headrest up to a reclining position to sleep. Sleep on your unaffected shoulder, not on your injured shoulder. The pillow between your legs will help keep your body aligned properly as you sleep. You might also hug a pillow in your arms. Put the pillow under your arm to raise the arm and alleviate some of the pressure on your rotator cuff. This can help ease your rotator cuff pain as you sleep. You can use a regular pillow. These positions may cause more discomfort. Even if these are your normal sleep positions, try starting out in a different position.

SUMMARY:
Sleep sitting up when you are first injured. Stick a pillow between your legs if you sleep on your side. Prop a pillow under the arm on the affected side when on your back. Avoid sleeping on the affected side or on your stomach.