What is a vertical compression by a factor of 2?
The graph of g(x)=12×2 g ( x ) = 1 2 x 2 is compressed vertically by a factor of 2; each point is half as far from the x -axis as its counterpart on the graph of y=x2.
What is a compression of a function?
Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.
How do you stretch a function vertically by 2?
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 vertically compressed by a factor of 1 3?
Say if you have an absolute value function f(x)= |4-x|, the way you would vertically compress it is by affecting it’s slope. If you multiply the number in front of x by 1 1/3 or 1.3333 repeating. The 1 aspect of 1 and 1/3 helps the slope stay constant, the 1/3 or . 3333 repeating compresses it vertically by 1/3.
What is a compression in Algebra 2?
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.
What is a compression in algebra?
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 do a horizontal stretch and compression?
If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function. Given a function y=f(x) y = f ( x ) , the form y=f(bx) y = f ( b x ) results in a horizontal stretch or compression.
What is compression math?
How do you graph compression?
How To: 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