Is a vertical shrink or stretch?

What are Vertical Stretches and Shrinks? 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.

Is vertical a 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.

Is vertical compression shrink or stretch?

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.

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

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 ).

What does vertical shrink mean?

from y -axis. vertical stretching/shrinking changes the y -values of points; transformations that affect the y -values are intuitive. horizontal stretching/shrinking changes the x -values of points; transformations that affect the x -values are counter-intuitive.

How do you find vertical stretch?

Video quote: By a factor of a notice if we look at y equals f of X here in blue y equals 2 times f of X is a vertical stretch and if we graph y equals 0.5 times f of X. We have a vertical compression.

What is vertically compressed?

Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.

What is vertical compression and stretch?

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.

What does a vertical shrink look like?

Video quote: And the absolute value that number being between 0 & 1 you're going to get a vertical shrink. Ok so here's an example consider the graph of G of x equals the square root of x we want to describe.

Is vertical compression the same as horizontal stretch?

Video quote: So the compression and stretch are opposite of the way it was with the horizontal.

How do you tell if it is a vertical or horizontal stretch?

Key Takeaways

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 ) .

What’s the difference between vertical and horizontal?

Anything parallel to the horizon is called horizontal. As vertical is the opposite of horizontal, anything that makes a 90-degree angle (right angle) with the horizontal or the horizon is called vertical.

What is a horizontal stretch and shrink?

A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). Examples of Horizontal Stretches and Shrinks.

Whats a horizontal stretch?

These functions may have been horizontally stretched using a base function. Horizontal stretches are among the most applied transformation techniques when graphing functions, so it’s best to understand its definition. Horizontal stretches happen when a base graph is widened along the x-axis and away from the y-axis.

How do you write a horizontal shrink?

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 is a vertical stretch example?

Examples of Vertical Stretches and Shrinks



looks like? Using the definition of f (x), we can write y₁(x) as, y₁ (x) = 1/2f (x) = 1/2 ( x² – 2) = 1/2 x² – 1. Based on the definition of vertical shrink, the graph of y₁(x) should look like the graph of f (x), vertically shrunk by a factor of 1/2.

How do you find the horizontal stretch?

Video quote: We're concerned about find the value of B. So in this form if B is greater than 1. We actually have a horizontal compression which we see here by y equals f of 2x.