How do you shrink a graph horizontally by a factor of 3?

How do you shrink a graph horizontally by a factor of 3?

If g(x) = 3f (x): For any given input, the output iof g is three times the output of f, so the graph is stretched vertically 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.

How do you calculate horizontal compression?

If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function. Given a function y=f(x) y = f ( x ) , the form y=f(bx) y = f ( b x ) results in a horizontal stretch or compression.

What’s a horizontal compression?

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. if 0 < k < 1 (a fraction), the graph is f (x) horizontally stretched by dividing each of its x-coordinates by k. • if k should be negative, the horizontal stretch or shrink is followed by a reflection in the y-axis.

How do you compress by a factor of 1 2?

In general, when a function is compressed vertically by a (where 0 < a < 1), the graph shrinks by the same scale factor. Let’s apply the concept to compress f(x) = 6|x| + 8 by a scale factor of 1/2. To compress f(x), we’ll multiply the output value by 1/2.

How do you find the horizontal stretch factor?

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

What is a horizontal compression by a factor of 3?

When we horizontally compress f(x) by a scale factor of 3, we obtain m(x). b. The function n(x) is the result of m(x) being compressed horizontally by a factor of 4. 3. Determine the relationship shared by f(x) and g(x) based on the graphs shown below.

What is a horizontal shrink by 1 2?

The horizontal shrink means you shrink x by a factor of 1/2. Currently the slope on the right side of the V is 1, so to “shrink” it, you actually DIVIDE by 1/2, giving you a new slope of 2.

How do you horizontally stretch a point?

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 ) .

Is 1 2 a stretch or compression?

If |k| > 1, then the graph is compressed horizontally by a factor of k units.” According to your post, we want “a horizontal stretch by a factor of 1/2.” Since stretches and compressions are inverses, we know that a stretch by a factor of 1/2 is the same as a compression by a factor of 2.