0.5
A horizontal stretch by a factor of 4 means that each point on a graph is moved away from the y-axis by a factor of 4. Mathematically, if you have a function ( f(x) ), the horizontally stretched function is represented as ( f\left(\frac{x}{4}\right) ). This transformation results in the graph appearing wider, as it takes longer for the function to reach the same y-values compared to the original function.
Griffith's experiments, conducted in the 1920s, demonstrated that non-virulent strains of Streptococcus pneumoniae could be transformed into virulent strains when exposed to heat-killed virulent bacteria. He observed that when live non-virulent bacteria were mixed with the heat-killed virulent bacteria, some of the non-virulent bacteria took up the hereditary material from the dead bacteria, becoming virulent themselves. This transformation indicated the presence of a "hereditary factor" that carried the information necessary for virulence, laying the groundwork for the later discovery of DNA as the genetic material.
factor I (fibrinogen), factor II (prothrombin), factor III (tissue thromboplastin), factor IV (calcium), factor V (proaccelerin), factor VI (no longer considered active in hemostasis), factor VII (factor-vii), factor VIII (antihemophilicfactor), factor IX (plasma thromboplastincomponent; Christmas factor), factor X (stuart-factor-stuart-prower-factor), factor XI (plasma thromboplastinantecedent), factor XII (factor-xii), factor XIII (fibrin stabilizing factor).
Since the distance from the Earth's center is doubled, the force will be reduced by a factor of 4.
It is (27, 9).
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
0.5
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
A similarity transformation uses a scale factor to enlarge or reduce the size of a figure while preserving its shape. It includes transformations such as dilation and similarity.
Center and Scale Factor....
Well this is my thought depending on where the point of dilation is the coordinates of the give plane is determined. The point of dilation not only is main factor that positions the coordinates, but the scale factor has a huge impact on the placement of the coordinates.
A transformation in which the figure grows larger is called dilation. In dilation, every point of the figure is moved away from a fixed center point by a scale factor greater than one. This results in a proportional increase in the size of the figure while maintaining its shape.
In mathematics, dilation refers to a transformation that alters the size of a geometric figure while maintaining its shape and proportions. This involves resizing the figure by a scale factor relative to a fixed point known as the center of dilation. A scale factor greater than one enlarges the figure, while a scale factor between zero and one reduces it. Dilation is commonly used in geometry to study similar figures and their properties.
Negative
A.)b'(4,-2) b.)b'(-8,16) c.)b'(-2,4) d.)b'(16,-8)