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.
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.
how do you stretch a graph? 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 ).
In this way, what is the difference between vertical stretch and horizontal compression?
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
How do you know if a parabola is stretched or compressed?
- If a > 1 displaystyle a>1 a>1, then the graph will be stretched.
- If 0 < a < 1, then the graph will be compressed.
- If a < 0 displaystyle a<0 a<0, then there will be combination of a vertical stretch or compression with a vertical reflection.
How do you write a vertical stretch?
Key Takeaways 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 ) . In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) .
How do you find 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 are the 4 types of transformations?
There are four main types of transformations: translation, rotation, reflection and dilation.
What does a vertical stretch do?
Also, a vertical stretch/shrink by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x).
What is transformation formula?
f (x) = x2. A function transformation takes whatever is the basic function f (x) and then “transforms” it (or “translates” it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around.