What is a stretching transformation?

What is a stretching transformation?

A stretch or compression is a function transformation that makes a graph narrower or wider, without translating it horizontally or vertically.

How do you tell if a transformation is a shrink or stretch?

If c is greater than one the function will undergo horizontal shrinking, and if c is less than one the function will undergo horizontal stretching. Horizontal scaling: The function y=sin(x) ⁡ is shrunk by a factor of three in the x direction.

What is a shrinking transformation?

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.

What is shrinking and stretching?

While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape.

How do you stretch and shrink a graph?

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 ). Here are the graphs of y = f (x), y = 2f (x), and y = x.

What is stretch and shrink in math?

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. Thus, dividing the input by a constant stretches the function in the x direction, and multiplying the input by a constant shrinks the function in the x direction.

What is transformation form?

The transformational form of an equation is a form that has. the x2 by itself. y = -x2. y = -x2 – 1. y = x2 + 8.

How do you shrink a transformation?

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 horizontal stretches and shrinks work?

What are Horizontal Stretches and Shrinks? Horizontal stretches and shrinks, respectively, horizontally pull the base graph, or push it together, while leaving the y-intercept unchanged to anchor the graph.

What is a stretch transformation?

stretching transformation. [′strech·iŋ ‚tranz·fər‚mā·shən] (mathematics) A homothetic transformation in which the ratio of similitude is less than 1.

What is vertical stretch or shrink?

A vertical stretching is the stretching of the graph away from the x-axis. 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.

To stretch or shrink the graph in the x direction, divide or multiply the input by a constant. As in translating, when we change the input, the function changes to compensate. Thus, dividing the input by a constant stretches the function in the x direction, and multiplying the input by a constant shrinks the function in the x direction.