How do you stretch or compress a function?

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 u stretch a function?

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 ).

How do you stretch or compress a graph?

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.

How do you stretch an equation?

Key Points

1. When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
2. In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) . …
3. In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) .

What is stretch math?

If a figure is enlarged (or reduced) in only one direction, the change is referred to as a stretch. In a stretch, the figure is distorted, and is not necessarily similar to the original figure.

What is a compression in math?

A compression occurs when a mathematical object is scaled by a scale factor less in absolute value than one. When a compression occurs, the image is smaller than the original mathematical object. If the scaling occurs about a point, the transformation is called a dilation and the “point” is called the dilation centre.

How do you stretch a function vertically by 2?

Video quote: The x squared gives you the Y value right so the 2 is multiplying those to get you new Y values. And notice too that every Y value doubled.

How do you find horizontal stretch or compression?

Video quote: So in this form if B is greater than 1. We actually have a horizontal compression which we see here by y equals f of 2x.

What is vertical stretch and compression?

Video quote: I will have a vertical stretch or a vertical compression involved if a is greater than 1 that is a vertical stretch if a is between 0 & 1 the graph is flattened out that is a vertical compression.

What is horizontal stretching?

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).

What is a vertical stretch example?

Examples of Vertical Stretches and Shrinks



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. Based on the definition of vertical shrink, the graph of y₁(x) should look like the graph of f (x), vertically shrunk by a factor of 1/2.

What is the difference between vertical and horizontal compression?

Video quote: When we are between 0 & 1. So the compression and stretch are opposite of the way it was with the horizontal. Okay so horizontal compression occurs when we're multiplying inside the parentheses.