Vertical squeezing (or shrinking) is the squeezing of the graph towards the x-axis. …if 0 < k < 1 (fraction), then the graph is f(x) vertically shrunk (or condensed) by multiplying each of its y-coordinates by k. • if k should When negative, vertical stretching or shrinking is followed by reflection along the x-axis.

How can I stretch or 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 by a factor of 2 in the y direction, and f(x) is shrunk by a factor of 2 (or stretched by a factor of 2) in the y direction. Below are plots for y = f (x), y = 2f (x), and y = x.

Does the fraction stretch or compress the function?

In mathematical terms, you can stretch or Compresses the 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 a number greater than 1.

1 2 Is it vertical stretching or shrinking?

By definition vertical contractionthe plot of y1(x) should look like the plot of f(x), vertically scaled down by a factor of 1/2.

How to stretch a vertical graph?

When given a graph of a function, we can stretch it vertically Pulls the curve outward according to a given scale factor. Here are some things to keep in mind when we stretch the function vertically: Make sure the value of x stays the same so the bottom of the curve doesn’t change.

Functional transformation: horizontal and vertical stretching and compression

24 related questions found

How do you know if the graph is stretched or shrunk vertically?

If 0 < k < 1 (fraction), the graph f(x) shrinks (or compresses) vertically multiply each of its y coordinates by k. If k should be negative, the vertical stretching or shrinking is followed by reflections across the x-axis.

Is the vertical stretch negative or positive?

when you multiply a function by a positive a You will perform vertical compression or vertical stretching of the graph. if 0 < a < 1 表示垂直压缩，如果 a > 1 means vertical stretch.

How to tell if a function is vertically stretched or contracted?

key takeaways

1. When f(x) or x is multiplied by a number, the function can « stretch » or « shrink » vertically or horizontally, respectively, when drawing the graph.
2. In general, the vertical stretch is given by the equation y=bf(x) y = bf (x). …
3. In general, the horizontal stretch is given by the equation y=f(cx) y = f (cx).

How do you know if the compression is vertical or tensile?

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

How to tell if a graph is a function?

Check the graph to see if any vertical lines drawn will intersect the curve more than once. If there are any such lines, the graph does not represent a function. Can intersect the curve multiple times if there is no vertical linethe graph does represent a function.

What is a math extension?

tension.stretch or compression is Function transformation to make the graph narrower or wider. Stretch. Stretching a graph means making the graph narrower or wider.

What are the constants in the function?

A constant function is A function that takes the same value of f(x) no matter what x is. When we talk about generic constant functions, we usually write f(x) = c, where c is some unspecified constant. Examples of constant functions include f(x) = 0, f(x) = 1, f(x) = π, f(x) = -0.

How to shrink the graph vertically?

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

What is the vertical displacement of a function?

Vertical offsets are external changes that affect the output ( y- ) axis value and move the function up or down…combining these two types of shifting will cause the graph of the function to be shifted up or down and to the right or left.

What is the difference between vertical compression and horizontal stretching?

Stretch is a transformation that causes each point’s distance to the x-axis to grow by a scaling factor greater than 1, while vertical squeezing is a transformation that causes every point’s distance to the x-axis to increase point contraction Pass a scale factor between 0 and 1.

How do you do a 2x vertical stretch?

So, the functional equation to stretch vertically by a factor of 2 and then move up by 3 units is y = 2f(x) + 3, horizontally stretched by a factor of 2 and then shifted 3 units to the right, the functional equation is y = f ( (x – 3)) = f ( x – ). Example: f(x) = 2×2.

Which letter extends vertically?

Vertical stretch, compression and reflection

These transformations correspond to letter a in general expression. Vertical stretching occurs when |a| is greater than 1.

Is horizontal stretching the same as vertical compression?

bring one parabola With its vertices at the origin, horizontal stretch and vertical compression look the same.

How can I find the vertical stretch factor on a chart?

For example, if a function grows three times as fast as its parent function, it has a stretch factor of 3. To find the vertical stretch of the graph, create a function based on its transformation from the parent function, Insert an (x, y) pair from the graph and solve for the stretched value A.

How to stretch and shrink horizontally?

What is horizontal stretch and shrink? stretch and shrink horizontally, respectively, Pull the base plot horizontally, or push it together while keeping the y-intercept constant to anchor the plot.

Is 1/2 stretch or compression?

As we would expect, when f(x) is vertical compression By factors of 1/2 and 1/4, the graph is also compressed by the same scaling factor. In general, when a function is compressed vertically by a (where 0 < a < 1), the graph shrinks by the same scale factor.

What is the vertical stretch of an exponential function?

While horizontal and vertical movement involves adding constants to the input or the function itself, when we Multiply the parent function f(x)=bx f ( x ) = bx by the constant |a|>0 .