What is a horizontal stretch?

What is a horizontal stretch?

A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. • if k > 1, the graph of y = f (k•x) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.

What does it mean by 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.

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.

How do you find the vertical stretch?

For example, if a function increases three times as fast as its parent function, it has a stretch factor of 3. 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.

How do you stretch a horizontal by a factor of 3?

If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.

What is the difference between horizontal and vertical stretch?

Stretched Vertically,

Compressed Vertically,

Stretched Horizontally,

Compressed Horizontally.

What does a vertical stretch look like?

What does a vertical stretch look like on a graph? 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 is a vertical stretch in math definition?

When by either f (x) or x is multiplied by a number,functions can “stretch” or “shrink” vertically or horizontally,respectively,when graphed.

In general,a vertical stretch is given by the equation y=bf (x) y = b f ( x ) .

In general,a horizontal stretch is given by the equation y=f (cx) y = f ( c x ) .

How to find vertical stretch or compression?

Translation: g (x)=f (x+c)

Compressions: g (x) = f (cx),where c>1

Stretches: g (x) = f (cx) where 0<1