![]() ![]() The cookie is used to store the user consent for the cookies in the category "Analytics". This cookie is set by GDPR Cookie Consent plugin. These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. The effect of applying a vertical stretch is similar to applying a horizontal compression and the effect of applying a vertical compression is similar to applying a horizontal stretch.To find new key points in a horizontal stretch or compression, multiply the x-values by a compression factor created by using the RECIPROCAL of the number multiplied under the square root sign.Multiplying by a number under the square root sign greater than 1 creates a horizontal compression.Horizontal stretches are created by multiplying the function under the square root sign by a number between 0 and 1.To find new key points, multiply the y-values of the parent function key points by the stretch or compression factor.Multiplying the parent by a number between 0 and 1 on the outside of the square root creates a vertical compression.Multiplying the parent by a number greater than 1 on the outside of the square root creates a vertical stretch.The graph of the square root parent function begins at point (0, 0) and is drawn only in quadrant I since the domain and range of the square root parent function are both greater than or equal to zero.Each x-value is multiplied by the factor to create a horizontal compression of the original graph. The effect of this transformation is to change the shape or curve of the graph by “stretching” it upward or “compressing” it downward.If the factor is greater than 1, a vertical stretch will occur and if the number is between 0 and 1, a vertical compression occurs. ![]() The number it is multiplied by is called the factor. A vertical stretch or compression of the square root parent function occurs when the parent function is multiplied by a number in front of the square root.Some of the key points on the graph of the parent function that are good to know as the graph is transformed are: (0, 0), (1, 1), (4, 2), and (9, 3).The graph of the square root parent function begins at point (0, 0) and is drawn only in quadrant I since both the domain and range of the square root parent are both greater than or equal to zero. ![]()
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