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.
Also, how do you write vertical compression? Parent functions can be vertically stretched or compressed by multiplying the function by some value a. If a is larger than 1, then the function is vertically stretched by a factor of a. If a is between 0 and 1, then the function is vertically compressed by a factor of a.
Also to know is, how do you know if its a vertical stretch or compression?
When you multiply a function by a positive a you will be performing either a vertical compression or vertical stretching of the graph. If 0 < a < 1 you have a vertical compression and if a > 1 then you have a vertical stretching.
What is a vertical and horizontal stretch?
Key Points When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed. In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) .
