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Vertical Stretches and Compressions. When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.
Graph a reflected exponential function. Write the equation of an exponential function that has been transformed. While horizontal and vertical shifts involve adding constants to the input or to the function itself, a stretch or compression occurs when we multiply the parent function f\left (x\right)= {b}^ {x} f (x) = bx by a constant |a|>0 ∣a ...
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- Function Transformations: Horizontal and Vertical Translations
- Function Transformations: Horizontal and Vertical Stretch and Compression
- Horizontal and Vertical Graph Stretches and Compressions
- Effects on The Parent Function
- Different Types of Math Transformation
This video explains to graph graph horizontal and vertical translation in the form af(b(x-c))+d. It looks at how c and d affect the graph of f(x).
This video explains to graph graph horizontal and vertical stretches and compressions in the form af(b(x-c))+d. It looks at how a and b affect the graph of f(x). 1. Show Video Lesson
The general formula is given as well as a few concrete examples. 1. y = c f(x), vertical stretch, factor of c 2. y = (1/c)f(x), compress vertically, factor of c 3. y = f(cx), compress horizontally, factor of c 4. y = f(x/c), stretch horizontally, factor of c 5. y = - f(x), reflect at x-axis 6. y = f(-x), reflect at y-axis 1. Show Video Lesson
In this video we discuss the effects on the parent function when: 1. Stretched Vertically, 2. Compressed Vertically, 3. Stretched Horizontally, 4. Compressed Horizontally. 1. Show Video Lesson
There are different types of math transformation, one of which is the type y = f(bx). This type of math transformation is a horizontal compression when b is greater than one. We can graph this math transformation by using tables to transform the original elementary function. Other important transformations include vertical shifts, horizontal shifts...
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 ...
Nov 1, 2012 · Reflections are transformations that result in a "mirror image" of a parent function. They are caused by differing signs between parent and child functions. A stretch or compression is a function transformation that makes a graph narrower or wider. Stretching a graph means to make the graph narrower or wider.
Stretches and compressions are transformations that are produced when the x or y values of the original function are multiplied by a constant value. To understand the stretches and compressions with respect to the x -axis and the y -axis, we are going to use the function f (x)=x+1 f (x) = x+ 1. By graphing this function, we get the following ...
How To. Given a function, graph its vertical stretch. Identify the value of a a. Multiply all range values by a a. If a > 1 a > 1, the graph is stretched by a factor of a a. If 0 < a < 1 0 < a < 1, the graph is compressed by a factor of a a. If a < 0 a < 0, the graph is either stretched or compressed and also reflected about the x -axis.
