What is a vertical stretch or compression?

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.

What is a vertical stretch example?

Examples of Vertical Stretches and Shrinks (2) g(x) = sin (x). looks like? Using the definition of f (x), we can write y1(x) as, y1 (x) = 1/2f (x) = 1/2 ( x2 – 2) = 1/2 x2 – 1.

What is vertical stretch?

What is a vertical stretch? Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph’s y values to be farther from the x-axis.

What does vertically compressed mean?

What is a vertical compression? Vertical compressions occur when a function is multiplied by a rational scale factor. The base of the function’s graph remains the same when a graph is compressed vertically. Only the output values will be affected.

What is stretch or compression in math?

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.

How do you find vertical stretch?

To find the vertical stretch of a graph, create a function based on its transformation from the parent function, plug in an (x, y) pair from the graph and solve for the value A of the stretch.

What is vertical and horizontal compression?

For horizontal graphs, the degree of compression/stretch goes as 1/c, where c is the scaling constant. Vertically compressed graphs take the same x-values as the original function and map them to smaller y-values, and vertically stretched graphs map those x-values to larger y-values.

How do you compress a graph?

How To: Given a function, graph its vertical stretch.

1. Identify the value of a .
2. Multiply all range values by a .
3. If a>1 , the graph is stretched by a factor of a . If 0

What is horizontal and vertical stretch?

vertical stretching/shrinking changes the y -values of points; transformations that affect the y -values are intuitive. horizontal stretching/shrinking changes the x -values of points; transformations that affect the x -values are counter-intuitive.

How do you compress a function?

To vertically compress a function, multiply the entire function by some number less than 1. This is the opposite of vertical stretching: whatever you would ordinarily get out of the function, you multiply it by 1/2 or 1/3 or 1/4 to get the new, smaller y-value.

What is a horizontal stretch?

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.

What is vertical and horizontal stretch?

What is a stretch in geometry?

stretch. A stretch or compression is a function transformation that makes a graph narrower or wider. stretching. Stretching a graph means to make the graph narrower or wider.

Is horizontal stretch same as vertical compression?

Only users with topic management privileges can see it. A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. if k 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.

How do you find horizontal stretch or compression?

We can only horizontally stretch a graph by a factor of 1/a when the input value is also increased by a.

When f (x) is stretched horizontally to f (ax),multiply the x-coordinates by a.

Retain the y-intercepts’ position.

The resulting function will have the same range but may have a different domain.

What is the difference between horizontal and vertical stretch?

Stretched Vertically,

Compressed Vertically,

Stretched Horizontally,

Compressed Horizontally.

Is a vertical stretch the same as a vertical shrink?

The y y -values are being multiplied by a number between 0 0 and 1 1, so they move closer to the x x -axis. This tends to make the graph flatter, and is called a vertical shrink. In both cases, a point (a,b) ( a, b) on the graph of y= f(x) y = f ( x) moves to a point (a,kb) ( a, k b) on the graph of y =kf(x) y = k f ( x) .