How do you know if a transformation is stretched or compressed?
Given a function, graph its vertical stretch.
- Identify the value of a .
- Multiply all range values by a .
- If a>1 , the graph is stretched by a factor of a . If 0
What is a stretch transformation in geometry?
A stretch or compression is a function transformation that makes a graph narrower or wider. stretching. Stretching a graph means to make the graph narrower or wider. Transformations. Transformations are used to change the graph of a parent function into the graph of a more complex function.
What does stretching and compressing a graph mean?
In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.
What is a transformation that shrinks or stretches a figure?
Stretches and shrinks are transformations that do change the shape by stretching or shrinking the graph in one direction. This is done by multiplying the inputs or outputs by some number. Multiplying the outside of a function results in multiplying the y-values.
How do you find the stretch on a graph?
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 ).
What is a compression in math?
A compression occurs when a mathematical object is scaled by a scale factor less in absolute value than one. When a compression occurs, the image is smaller than the original mathematical object. If the scaling occurs about a point, the transformation is called a dilation and the “point” is called the dilation centre.
How do you stretch a graph?
What is stretching and shrinking in math?
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.
What is a compressed graph?
A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.
What is compressing a graph?
What is a stretch on a graph?
To stretch or shrink the graph in the x direction, divide or multiply the input by a constant. As in translating, when we change the input, the function changes to compensate.
How to stretch or compress a function in the y-direction?
We can stretch or compress it in the y-direction by multiplying the whole function by a constant. 1 C > 1 stretches it 2 0 < C < 1 compresses it More
What is stretching and compression?
Stretching and compressing a function can change its appearance when graphed. Learn to recognize when vertical stretch, vertical compression, horizontal stretch, or horizontal compression are being performed at a glance. Updated: 11/23/2021 You knew you could graph functions.
What is the formula for stretching and compressing a graph?
Horizontal And Vertical Graph Stretches And Compressions (Part 1) The general formula is given as well as a few concrete examples. y = c f(x), vertical stretch, factor of c; y = (1/c)f(x), compress vertically, factor of c; y = f(cx), compress horizontally, factor of c; y = f(x/c), stretch horizontally, factor of c; y = – f(x), reflect at x-axis
How do you know how much you’re stretching or compressing a function?
That’s great, but how do you know how much you’re stretching or compressing the function? In general, if y = F (x) is the original function, then you can vertically stretch or compress that function by multiplying it by some number a: