How do you stretch a graph horizontally?
- 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 do you make a stretched graph?
2:055:04Vertically Stretching and Shrinking Graphs - YouTubeYouTubeStart of suggested clipEnd of suggested clipIf you take that real number and multiply it times your original function you're going to get aMoreIf you take that real number and multiply it times your original function you're going to get a vertical stretch. If that real if the absolute value of that real number is greater than 1.
What makes a graph shrink?
The y -values are being multiplied by a number between 0 and 1 , so they move closer to the x -axis. This tends to make the graph flatter, and is called a vertical shrink.
How do you know if its a horizontal stretch or shrink?
What are Horizontal Stretches and Shrinks? Horizontal stretches and shrinks, respectively, horizontally pull the base graph, or push it together, while leaving the y-intercept unchanged to anchor the graph. if 0 < k < 1.
How do you stretch and shift a graph?
3:1311:09Shifting, Stretching and Reflecting Parent Function Graphs - YouTubeYouTubeStart of suggested clipEnd of suggested clipOr if it's less than 1 like 1/2 or 1/3 it's going to compress it ok.MoreOr if it's less than 1 like 1/2 or 1/3 it's going to compress it ok.
What causes a graph to 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 determine vertical and horizontal stretches and shrinks?
0:2710:21How to Recognize and Graph Stretches & Shrinks - YouTubeYouTubeStart of suggested clipEnd of suggested clipA so horizontal think of your x-axis. And that represents your domain or your inputs. So when a ourMoreA so horizontal think of your x-axis. And that represents your domain or your inputs. So when a our factor a is greater than one the transformation is a horizontal shrink.
How can you tell the difference between stretching and shrinking?
Shrink film is used for packaging products. It shrinks to form around the shape of the products being packaged. Stretch film is used to wrap pallets of pre-packaged goods prior to shipping. Shrink film does not stretch and you cannot use it as a stretch film.
How do you shrink a horizontal graph?
To shrink or compress horizontally by a factor of c, replace y = f(x) with y = f(cx). Note that if |c|<1, that's the same as scaling, or stretching, by a factor of 1/c.
What does it mean to stretch a graph horizontally?
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 stretch horizontal and vertical graphs?
0:049:32Function Transformations: Horizontal and Vertical Stretches ... - YouTubeYouTubeStart of suggested clipEnd of suggested clipFunction. So if we have y equals a times f of x where a is greater than one this will stretch theMoreFunction. So if we have y equals a times f of x where a is greater than one this will stretch the graph of f of x vertically by a factor of a.
What does it mean to stretch a graph vertically?
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 stretch transformations?
0:135:18Transformations - Veritcal Stretch - Compression - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd I want to try graphing. Something that has the form let's do two times x squared. So notice thatMoreAnd I want to try graphing. Something that has the form let's do two times x squared. So notice that K. Right here K is 2 which is definitely greater than 1 so it's going to be a vertical stretch.
What transformation makes a graph narrower?
A dilation is a transformation that makes the graph narrower or wider than the parent graph. A reflection flips a figure over the x-axis or y-axis.
What causes a graph to shift down?
The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down.
How do you know if a graph gets wider or narrower?
A large positive value of a makes a narrow parabola; a positive value of a which is close to 0 makes the parabola wide. If a<0 in f(x)=ax2+bx+c, the parabola opens downward. In this case the vertex is the maximum, or highest point, of the parabola.
What is it called when a shape gets smaller on a graph?
“Dilation” means resizing. When you resize a shape it gets bigger or smaller, however, it still looks similar. That is, all angles are the same and the sides are in proportion. In a dilation, the size of the Image and Pre-Image are different. A dilation is also called compression, enlargement or contraction.