Contents
- 1 How do you compress a function horizontally?
- 2 What is horizontal compression by a factor of 2?
- 3 How do you know if a function is horizontally compressed?
- 4 What’s a horizontal compression?
- 5 How do you shift a function horizontally?
- 6 How do you tell if a function is horizontally stretched or compressed?
How do you compress a function horizontally?
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 horizontal shrink equation?
A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). Examples of Horizontal Stretches and Shrinks. Consider the following base functions, (1) f (x) = x2 – 3, (2) g(x) = cos (x).
What is horizontal compression by a factor of 2?
and discuss how they are related. As we can see above, compared to the graph of f(x), the graph of f(2x) f ( 2 x ) is compressed horizontally by a factor of 2. Effectively, if we are given a point (x,y) on the graph of f(x) then (12x,y) ( 1 2 x , y ) is a point on the graph of f(2x). f ( 2 x ) .
What does it mean to compress horizontally?
Horizontal compressions occur when the function’s base graph is shrunk along the x-axis and, consequent, away from the y-axis.
How do you know if a function is horizontally compressed?
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.
How do you stretch or compress horizontally?
What’s a horizontal compression?
How do you shrink horizontally?
A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. if k > 1, the graph of y = f (k•x) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
How do you shift a function horizontally?
You make horizontal changes by adding a number to or subtracting a number from the input variable x, or by multiplying x by some number. All horizontal transformations, except reflection, work the opposite way you’d expect: Adding to x makes the function go left. Subtracting from x makes the function go right.
How do you horizontally shrink a graph?