How does a vertical compression affect a graph?

How does a vertical compression affect 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.

When you perform a vertical stretch or compression What happens to the vertical intercept?

When a graph is stretched or shrunk vertically, the x -intercepts act as anchors and do not change under the transformation. if 0 < k < 1. Remember that x-intercepts do not move under vertical stretches and shrinks. In other words, if f (x) = 0 for some value of x, then k f (x) = 0 for the same value of x.

What does it mean when a graph is stretched or compressed?

Vertical Stretching & Compression Vertical stretching means the function is stretched out vertically, so it’s taller. Vertical compression means the function is squished down vertically, so it’s shorter. On the graph of a function, the F(x), or output values of the function, are plotted on the y-axis.

How do you stretch a vertical 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 a vertical stretch 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 equation?

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

What is vertical stretch and compression?

What does a vertical stretch mean?

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 or compression?

What happens when you vertically stretch 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 happens when a graph is vertically compressed by a factor?

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. Why don’t we observe what happens when f (x) is vertically compressed by a scale factor of 1/2 and 1/4?

What is a vertical compression in math?

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 does it mean to stretch or compress the graph?

strech or compress the graph. It might be simpler to think of a stretch or a compression in terms of a rubber band. When in its original state, it has a certain interior. When one stretches the rubber band, the interior