What Is A Vertical Stretch Example?

What is an example of vertical stretching?

Examples of vertical expansion and contraction

It seems? Using the definition of f(x), we can write y 1 (x) as, and 1 (x) = 1/2f(x) = 1/2(x 2 – 2) = 1/2 x 2 1. Based on the definition of vertical shrinkage, plot and 1 (x) should appear as a graph of f(x) compressed vertically 1/2 times.

How to write a vertical stroke?

When f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally when graphed. In general, the vertical elongation is given by the equation y = bf (x) y = bf (x).

How is vertical elongation described?

Vertical stretching/compression changes the y values ​​of points, the transformations that affect the values ​​and are intuitive. Horizontal stretch/compression changes x values ​​in points. Transformations that affect the values ​​of x are counterintuitive.

What is vertical and horizontal stretching?

Stretching or shrinking horizontally by a factor of 1/k means that the point (x, y) on the graph f (x) becomes the point (x/k, y) on the graph g (x). Examples of horizontal stretching and compression. Consider the following basic functions: (1) f (x) = x 2 3, (2) g(x) = cos(x).

What is an example of vertical stretching?

Examples of vertical expansion and contraction

It seems? Using the definition of f(x), we can write y 1 (x) as, and 1 (x) = 1/2f(x) = 1/2(x 2 – 2) = 1/2 x 2 one . Based on the definition of vertical shrinkage, the graph and 1 (x) should appear as a graph of f(x) compressed vertically 1/2 times.

How is vertical elongation described?

So the equation of a function stretched vertically 2 and then shifted 3 units up is y = 2f (x) + 3, and the equation of a function stretched horizontally 2 and then shifted 3 units to the right is y = F (( x 3)) = F(X). Example: f(x) = 2x 2 .

How to do a vertical stretch 2 times?

Examples of vertical expansion and contraction

It seems? Using the definition of f(x), we can write y 1 (x) as, and 1 (x) = 1/2f(x) = 1/2(x 2 – 2) = 1/2 x 2 one . Based on the definition of vertical shrinkage, the graph and 1 (x) should appear as a graph of f(x) compressed vertically 1/2 times.

How to find the horizontal section?

In general, the horizontal section is given by the equation y = f (cx) y = f (cx).

What does horizontal stretch mean?

The horizontal stretch is the stretch of the graph from the y-axis. Horizontal shrinkage (or shrinkage) is the shrinkage of the graph in the y direction. which has been compressed (or compressed) horizontally by dividing each of its abscissas by k.

What is horizontal elongation in the equation?

Horizontal stretch/compression changes x values ​​in points. Transformations that affect the values ​​of x are counterintuitive. Vertical/horizontal stretching/compression generally changes the shape of the graph. (plus math cats)

What is the horizontal section of 4?

Stretch 4x, Stretch 2x, Stretch 2x horizontally, Flip Y, Translate 3 units up and 2 units right. Representing 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.