Stretches and Shrinks
GRANTS.GOV Applicant Support 1-800-518-4726 [email protected]. File cabinet pro 5 3. The Expansion of Industry 230 CHAPTER 6 One day, Pattillo Higgins noticed bubbles in the springs around Spindletop, a hill near Beaumont in southeastern Texas. This and other signs convinced him that oil was underground. If Higgins found oil, it could serve as a fuel source around which a vibrant industrial city would develop.
QuickKey allows you to insert expanded text into any app with a single keyboard shortcut. Stop typing repetitive or hard to remember text over and over, and make your life easier with QuickKey. QuickKey 2 now supports multiple placeholders—so you can define a block of text with multiple 'variables', crafting entire e-mails.
We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x. Note that if (x, y1) is a point on the graph of f (x), (x, y2) is a point on the graph of 2f (x), and (x, y3) is a point on the graph of f (x), then y2 = 2y1 and y3 = y1. For example, (3, 2) is on the graph of f (x), (3, 4) is on the graph of 2f (x), and (3, 1) is on the graph of f (x).
To stretch or shrink the graph in the x direction, divide or multiply the input by a constant. Screentolayers 1 2 0 1. As in translating, when we change the input, the function changes to compensate. Thus, dividing the input by a constant stretches the function in the x direction, and multiplying the input by a constant shrinks the function in the x direction. f (x) is stretched in the x direction by a factor of 2, and f (2x) is shrunk in the x direction by a factor of 2 (or stretched by a factor of frac12). Here is a graph of y = f (x), y = f (x), and y = f (2x). Note that if (x1, y) is a point on the graph of f (x), (x2, y) is a point on the graph of f (x), and (x3, y) is a point on the graph of f (2x), then x2 = 2x1 and x3 = x1. For example, (- 2, 5) is on the graph of f (x), (- 4, 5) is on the graph of f (x), and (- 1, 5) is on the graph of f (2x).
We can understand the difference between altering inputs and altering outputs by observing the following:
If g(x) = 3f (x): For any given input, the output iof g is three times the output of f, so the graph is stretched vertically by a factor of 3.
If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.
If g(x) = 3f (x): For any given input, the output iof g is three times the output of f, so the graph is stretched vertically by a factor of 3.
If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.
Quick Key does more than scan bubble sheets! Here's how to give a quiz on your students' mobile devices, Chromebook, or laptops.
How to Build a Digital Quiz or Test:
Building a quiz or test for taking online is different from building a simple answer key for a bubble sheet. You need to write your questions and answers, and upload reading passages and images, in order for your students to see them online. In Quick Key this is called an 'Advanced Quiz.'
Here is a video on how to build an Advanced Quiz for online assessment:
Sending a digital quiz or test to your students:
Now that you have built your digital assessment, it is time to send your students the information they need to take it.
There are two ways to send a digital quiz to your students:
There are two ways to send a digital quiz to your students:
1. Does your roster NOT include student email addresses?
Scroll down to 'Step by Step' for instructions on how to give a Quiz or Test online. Or Watch this Video:
2. Does your roster INCLUDE student emails?
Watch the How-to Video on using Magic Keys:
Step by Step:
Text Expansion Word
- Make an Advanced Quiz. This will allow you to write answer choice text and add stimulus images and passages.
- After saving the Quiz, press 'Distribute Quiz Digitally.'
- In the pop-up dialog, choose which Courses will take the Quiz by checking the box next to each Course.
- Choose to either 'Send Magic Links' to your students if you have included student email addresses in your Roster, or copy the Quiz Code for each Course that will take the Quiz online.
- If you send Magic Links, you're done! Your students will receive an email that will take them directly to the correct quiz on student.quickkeyapp.com. All they need to do it verify their 4-digit Quick Key ID
- if you use Quiz Codes instead of Magic Links:
- Give your students the Quiz Code for the Course they are in.
- Instruct students to go to student.quickkeyapp.com or open the Quick Quiz Chromebook app, and enter their 4-digit Quick Key ID and the Quiz Code.
- All Quiz results will post to Quick Key online, and to the Quick Key Mobile app after your next sync.
Optional: Download the Chromebook App:
Quick Key 2 1 – Text Expansion Pdf
Remember: You don't need a Chromebook or the Chromebook app. Your students can always access Quick Key 1-to-1 by navigating to https://student.quickkeyapp.com/
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Text Expansion Windows 10
Chromebook users: You can also download the Quick Key 1-to-1 Chrome Plugin, which has an automatic Kiosk mode that prevents students from opening other tabs in the browser, here:https://chrome.google.com/webstore/detail/quick-quiz/ghjabniifcphdgngdaaaibdgfonnicle?utm_source=chrome-ntp-launcher