How can you tell the difference between a vertical strecth and a vertical shrink?
mmmhh, if your shirt stretches, doesn't it get longer and if your shirt shrinks, doesn't it get smaller ?
That helps somewhaaat.c:
In terms of Algebra?
graph:
y = x^2 vs y = 3x^2 vs y = (1/2)x^2 and see what happens
To determine the difference between a vertical stretch and a vertical shrink, you need to compare the original function to the transformed function. Here's how you can tell them apart:
1. Identify the original function: Start with the equation of the original function, which typically represents a basic shape. For example, consider the function f(x) = x^2.
2. Analyze the transformed function: Now, compare the equation of the transformed function to the original function. A vertical stretch or shrink affects the vertical dimension only and can be expressed as a scalar multiplication. If the transformed function has the form f(x) = a*x^2, where 'a' is a constant, it indicates a vertical stretch or shrink.
3. Compare the value of 'a': If 'a' is greater than 1, it means there is a vertical stretch. The larger the value of 'a', the greater the stretch. If 'a' is between 0 and 1, it implies a vertical shrink. The closer 'a' is to 0, the stronger the shrinkage.
4. Interpret the transformation: A vertical stretch increases the vertical values of the function, making it "taller" compared to the original. On the other hand, a vertical shrink decreases the vertical values, making it "shorter" relative to the original.
Remember, when interpreting transformations, it's crucial to compare the transformed function to the original function and analyze how it affects the vertical dimension.