What are examples of vertical expansion and contraction? Using the definition of f(x), we can write y1(x) as y1(x)=1/2f(x)=1/2 ( x 22) = 1/2 x 21. Based on the definition of vertical shrinkage, the graph of y 1 ( x) should be like the graph of f(x) shrunk vertically by a factor of 1/2.
How do you write a vertical stretch?
When f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally when graphed. In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ).
How do you describe a vertical stretch?
vertical stretching/shrinking changes the y-values of the points, the transformations affecting the y-values are intuitive. horizontal stretching/shrinking changes the x-values of the points Transformations that affect the x-values are counterintuitive.
What is a vertical and horizontal stretch?
Stretching or shrinking horizontally by a factor of 1/k means that point (x,y) on the graph of f(x) is converted to point (x/k,y) on the graph of g(x). Examples of horizontal stretching and shrinking. Consider the following basis functions: (1) f(x) = x23, (2) g(x) = cos(x).
What is an example of a vertical stretch?
What are examples of vertical expansion and contraction? Using the definition of f(x), we can write y1(x) as y1(x)=1/2f(x)=1/2 ( x 22) = 1/2 x 21 . Based on the definition of vertical shrinkage, the graph of y1(x) should look like the graph of f(x) shrunk vertically by a factor of 1/2.
How do you describe a vertical stretch?
So the equation of a function stretched vertically by 2 and then shifted up 3 units is y = 2f(x) + 3, and the equation of a function stretched horizontally by 2 and then shifted right 3 units is y = 2f(x) + 3y = F ( (x 3)) = F ( X ). Example: f (x) = 2x 2 .
How do you do a vertical stretch by a factor of 2?
What are examples of vertical expansion and contraction? Using the definition of f(x), we can write y1(x) as y1(x)=1/2f(x)=1/2 ( x 22) = 1/2 x 21 . Based on the definition of vertical shrinkage, the graph of y1(x) should look like the graph of f(x) shrunk vertically by a factor of 1/2.
How do you find the horizontal stretch?
In general, horizontal stretching is given by the equation y=f(cx) y = f ( c x ).
What does horizontal stretch mean?
A horizontal stretch is the stretching of the chart away from the y-axis. A horizontal compression (or shrinkage) is the compression of the chart in the direction of the y-axis. • If k > 1, the graph of y = f(k•x) is the graph of f(x) that has been shrunk (or compressed) horizontally by dividing each of its abscissas by k.
What is a horizontal stretch in an equation?
horizontal stretching/shrinking changes the x-values of the points Transformations that affect the x-values are counterintuitive. Vertical/horizontal stretching/shrinking usually changes the shape of a chart. (more math cats)
What is a horizontal stretch by 4?
Stretch by a factor of 4, stretch by a factor of 2, stretch horizontally by a factor of 2, mirror in the y-axis, translate 3 units up and 2 units to the right. Putting these values in the general form f(x) = a f[ b(x − h)] + k where f(x) = , we get f(x) = 4[ ] + 3 . This can be simplified to f(x) = + 3.